60.354 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.252 * * * [progress]: [2/2] Setting up program.
0.255 * [progress]: [Phase 2 of 3] Improving.
0.255 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.255 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.255 * * [simplify]: iteration 0: 13 enodes
0.259 * * [simplify]: iteration 1: 31 enodes
0.266 * * [simplify]: iteration 2: 62 enodes
0.290 * * [simplify]: iteration 3: 124 enodes
0.371 * * [simplify]: iteration 4: 327 enodes
0.633 * * [simplify]: iteration 5: 929 enodes
0.985 * * [simplify]: iteration 6: 2011 enodes
1.473 * * [simplify]: iteration complete: 2011 enodes
1.473 * * [simplify]: Extracting #0: cost 1 inf + 0
1.474 * * [simplify]: Extracting #1: cost 89 inf + 0
1.476 * * [simplify]: Extracting #2: cost 322 inf + 1
1.479 * * [simplify]: Extracting #3: cost 468 inf + 46
1.483 * * [simplify]: Extracting #4: cost 453 inf + 3452
1.492 * * [simplify]: Extracting #5: cost 339 inf + 22215
1.514 * * [simplify]: Extracting #6: cost 152 inf + 141923
1.552 * * [simplify]: Extracting #7: cost 5 inf + 283438
1.615 * * [simplify]: Extracting #8: cost 0 inf + 285235
1.673 * * [simplify]: Extracting #9: cost 0 inf + 284972
1.755 * * [simplify]: Extracting #10: cost 0 inf + 284459
1.840 * [simplify]: Simplified to:
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1.849 * * [progress]: iteration 1 / 4
1.849 * * * [progress]: picking best candidate
1.860 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
1.860 * * * [progress]: localizing error
1.896 * * * [progress]: generating rewritten candidates
1.896 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1.912 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1.936 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1.950 * * * [progress]: generating series expansions
1.950 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1.951 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1.951 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1.951 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1.951 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1.951 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1.951 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1.951 * [taylor]: Taking taylor expansion of 1/2 in k
1.951 * [backup-simplify]: Simplify 1/2 into 1/2
1.951 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1.951 * [taylor]: Taking taylor expansion of 1/2 in k
1.951 * [backup-simplify]: Simplify 1/2 into 1/2
1.951 * [taylor]: Taking taylor expansion of k in k
1.951 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify 1 into 1
1.951 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1.951 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1.951 * [taylor]: Taking taylor expansion of 2 in k
1.951 * [backup-simplify]: Simplify 2 into 2
1.951 * [taylor]: Taking taylor expansion of (* n PI) in k
1.951 * [taylor]: Taking taylor expansion of n in k
1.951 * [backup-simplify]: Simplify n into n
1.951 * [taylor]: Taking taylor expansion of PI in k
1.951 * [backup-simplify]: Simplify PI into PI
1.951 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1.951 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1.951 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1.952 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.952 * [backup-simplify]: Simplify (- 0) into 0
1.952 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.952 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1.952 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1.952 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1.952 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1.952 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1.952 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1.953 * [taylor]: Taking taylor expansion of 1/2 in n
1.953 * [backup-simplify]: Simplify 1/2 into 1/2
1.953 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1.953 * [taylor]: Taking taylor expansion of 1/2 in n
1.953 * [backup-simplify]: Simplify 1/2 into 1/2
1.953 * [taylor]: Taking taylor expansion of k in n
1.953 * [backup-simplify]: Simplify k into k
1.953 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.953 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.953 * [taylor]: Taking taylor expansion of 2 in n
1.953 * [backup-simplify]: Simplify 2 into 2
1.953 * [taylor]: Taking taylor expansion of (* n PI) in n
1.953 * [taylor]: Taking taylor expansion of n in n
1.953 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify 1 into 1
1.953 * [taylor]: Taking taylor expansion of PI in n
1.953 * [backup-simplify]: Simplify PI into PI
1.953 * [backup-simplify]: Simplify (* 0 PI) into 0
1.953 * [backup-simplify]: Simplify (* 2 0) into 0
1.954 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.956 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.956 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.956 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1.956 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1.956 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1.957 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.958 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1.959 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
1.959 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1.959 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1.959 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1.959 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1.959 * [taylor]: Taking taylor expansion of 1/2 in n
1.959 * [backup-simplify]: Simplify 1/2 into 1/2
1.959 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1.959 * [taylor]: Taking taylor expansion of 1/2 in n
1.959 * [backup-simplify]: Simplify 1/2 into 1/2
1.959 * [taylor]: Taking taylor expansion of k in n
1.959 * [backup-simplify]: Simplify k into k
1.959 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.959 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.959 * [taylor]: Taking taylor expansion of 2 in n
1.959 * [backup-simplify]: Simplify 2 into 2
1.959 * [taylor]: Taking taylor expansion of (* n PI) in n
1.959 * [taylor]: Taking taylor expansion of n in n
1.959 * [backup-simplify]: Simplify 0 into 0
1.959 * [backup-simplify]: Simplify 1 into 1
1.959 * [taylor]: Taking taylor expansion of PI in n
1.959 * [backup-simplify]: Simplify PI into PI
1.959 * [backup-simplify]: Simplify (* 0 PI) into 0
1.960 * [backup-simplify]: Simplify (* 2 0) into 0
1.961 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.963 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.964 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.964 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1.964 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1.964 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1.966 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.967 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1.968 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
1.968 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1.968 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1.968 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1.968 * [taylor]: Taking taylor expansion of 1/2 in k
1.968 * [backup-simplify]: Simplify 1/2 into 1/2
1.968 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1.968 * [taylor]: Taking taylor expansion of 1/2 in k
1.968 * [backup-simplify]: Simplify 1/2 into 1/2
1.968 * [taylor]: Taking taylor expansion of k in k
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 1 into 1
1.968 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1.968 * [taylor]: Taking taylor expansion of (log n) in k
1.968 * [taylor]: Taking taylor expansion of n in k
1.968 * [backup-simplify]: Simplify n into n
1.968 * [backup-simplify]: Simplify (log n) into (log n)
1.968 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.969 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.969 * [taylor]: Taking taylor expansion of 2 in k
1.969 * [backup-simplify]: Simplify 2 into 2
1.969 * [taylor]: Taking taylor expansion of PI in k
1.969 * [backup-simplify]: Simplify PI into PI
1.969 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.970 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.971 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.971 * [backup-simplify]: Simplify (- 0) into 0
1.971 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.973 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.973 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1.974 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.975 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.976 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1.978 * [backup-simplify]: Simplify (- 0) into 0
1.978 * [backup-simplify]: Simplify (+ 0 0) into 0
1.979 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.979 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1.981 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.981 * [taylor]: Taking taylor expansion of 0 in k
1.981 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1.982 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.983 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.983 * [backup-simplify]: Simplify (+ 0 0) into 0
1.983 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.984 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.984 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1.987 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.989 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.992 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1.993 * [backup-simplify]: Simplify (- 0) into 0
1.993 * [backup-simplify]: Simplify (+ 0 0) into 0
1.994 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.995 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.997 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.997 * [taylor]: Taking taylor expansion of 0 in k
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify 0 into 0
1.998 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1.998 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.000 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.001 * [backup-simplify]: Simplify (+ 0 0) into 0
2.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.002 * [backup-simplify]: Simplify (- 0) into 0
2.003 * [backup-simplify]: Simplify (+ 0 0) into 0
2.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.008 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.018 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.025 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
2.026 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.026 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
2.026 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.026 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.026 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.026 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.026 * [taylor]: Taking taylor expansion of 1/2 in k
2.026 * [backup-simplify]: Simplify 1/2 into 1/2
2.026 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.026 * [taylor]: Taking taylor expansion of 1/2 in k
2.026 * [backup-simplify]: Simplify 1/2 into 1/2
2.026 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.026 * [taylor]: Taking taylor expansion of k in k
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 1 into 1
2.026 * [backup-simplify]: Simplify (/ 1 1) into 1
2.026 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.026 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.026 * [taylor]: Taking taylor expansion of 2 in k
2.026 * [backup-simplify]: Simplify 2 into 2
2.026 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.026 * [taylor]: Taking taylor expansion of PI in k
2.026 * [backup-simplify]: Simplify PI into PI
2.026 * [taylor]: Taking taylor expansion of n in k
2.026 * [backup-simplify]: Simplify n into n
2.026 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.026 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.026 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.027 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.027 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.027 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.027 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.028 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.028 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.028 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.028 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.028 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.028 * [taylor]: Taking taylor expansion of 1/2 in n
2.028 * [backup-simplify]: Simplify 1/2 into 1/2
2.028 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.028 * [taylor]: Taking taylor expansion of 1/2 in n
2.028 * [backup-simplify]: Simplify 1/2 into 1/2
2.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.028 * [taylor]: Taking taylor expansion of k in n
2.028 * [backup-simplify]: Simplify k into k
2.028 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.028 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.028 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.028 * [taylor]: Taking taylor expansion of 2 in n
2.028 * [backup-simplify]: Simplify 2 into 2
2.028 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.028 * [taylor]: Taking taylor expansion of PI in n
2.028 * [backup-simplify]: Simplify PI into PI
2.028 * [taylor]: Taking taylor expansion of n in n
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify 1 into 1
2.028 * [backup-simplify]: Simplify (/ PI 1) into PI
2.029 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.029 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.029 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.029 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.029 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.030 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.031 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.032 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.032 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.032 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.032 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.032 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.032 * [taylor]: Taking taylor expansion of 1/2 in n
2.032 * [backup-simplify]: Simplify 1/2 into 1/2
2.032 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.032 * [taylor]: Taking taylor expansion of 1/2 in n
2.032 * [backup-simplify]: Simplify 1/2 into 1/2
2.032 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.032 * [taylor]: Taking taylor expansion of k in n
2.032 * [backup-simplify]: Simplify k into k
2.032 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.032 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.032 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.032 * [taylor]: Taking taylor expansion of 2 in n
2.032 * [backup-simplify]: Simplify 2 into 2
2.032 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.032 * [taylor]: Taking taylor expansion of PI in n
2.032 * [backup-simplify]: Simplify PI into PI
2.032 * [taylor]: Taking taylor expansion of n in n
2.032 * [backup-simplify]: Simplify 0 into 0
2.032 * [backup-simplify]: Simplify 1 into 1
2.032 * [backup-simplify]: Simplify (/ PI 1) into PI
2.033 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.033 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.034 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.034 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.034 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.035 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.035 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.036 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.036 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.036 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.036 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.036 * [taylor]: Taking taylor expansion of 1/2 in k
2.036 * [backup-simplify]: Simplify 1/2 into 1/2
2.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.036 * [taylor]: Taking taylor expansion of 1/2 in k
2.036 * [backup-simplify]: Simplify 1/2 into 1/2
2.036 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.036 * [taylor]: Taking taylor expansion of k in k
2.036 * [backup-simplify]: Simplify 0 into 0
2.036 * [backup-simplify]: Simplify 1 into 1
2.037 * [backup-simplify]: Simplify (/ 1 1) into 1
2.037 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.037 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.037 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.037 * [taylor]: Taking taylor expansion of 2 in k
2.037 * [backup-simplify]: Simplify 2 into 2
2.037 * [taylor]: Taking taylor expansion of PI in k
2.037 * [backup-simplify]: Simplify PI into PI
2.037 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.038 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.038 * [taylor]: Taking taylor expansion of (log n) in k
2.038 * [taylor]: Taking taylor expansion of n in k
2.038 * [backup-simplify]: Simplify n into n
2.038 * [backup-simplify]: Simplify (log n) into (log n)
2.038 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.038 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.038 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.039 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.039 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.040 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.041 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.041 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.042 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.044 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.045 * [backup-simplify]: Simplify (- 0) into 0
2.045 * [backup-simplify]: Simplify (+ 0 0) into 0
2.046 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.046 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.048 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.048 * [taylor]: Taking taylor expansion of 0 in k
2.048 * [backup-simplify]: Simplify 0 into 0
2.048 * [backup-simplify]: Simplify 0 into 0
2.048 * [backup-simplify]: Simplify 0 into 0
2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.052 * [backup-simplify]: Simplify (- 0) into 0
2.052 * [backup-simplify]: Simplify (+ 0 0) into 0
2.053 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.054 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.055 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.055 * [taylor]: Taking taylor expansion of 0 in k
2.055 * [backup-simplify]: Simplify 0 into 0
2.055 * [backup-simplify]: Simplify 0 into 0
2.055 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.063 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.065 * [backup-simplify]: Simplify (- 0) into 0
2.066 * [backup-simplify]: Simplify (+ 0 0) into 0
2.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.069 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.072 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.073 * [taylor]: Taking taylor expansion of 0 in k
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify 0 into 0
2.074 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
2.074 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
2.074 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
2.074 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.074 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.074 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.074 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.074 * [taylor]: Taking taylor expansion of 1/2 in k
2.074 * [backup-simplify]: Simplify 1/2 into 1/2
2.074 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.075 * [taylor]: Taking taylor expansion of k in k
2.075 * [backup-simplify]: Simplify 0 into 0
2.075 * [backup-simplify]: Simplify 1 into 1
2.075 * [backup-simplify]: Simplify (/ 1 1) into 1
2.075 * [taylor]: Taking taylor expansion of 1/2 in k
2.075 * [backup-simplify]: Simplify 1/2 into 1/2
2.075 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.075 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.075 * [taylor]: Taking taylor expansion of -2 in k
2.075 * [backup-simplify]: Simplify -2 into -2
2.075 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.075 * [taylor]: Taking taylor expansion of PI in k
2.075 * [backup-simplify]: Simplify PI into PI
2.075 * [taylor]: Taking taylor expansion of n in k
2.075 * [backup-simplify]: Simplify n into n
2.075 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.075 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.075 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.076 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.076 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.077 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.077 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
2.077 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.077 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.077 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.077 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.077 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.077 * [taylor]: Taking taylor expansion of 1/2 in n
2.077 * [backup-simplify]: Simplify 1/2 into 1/2
2.077 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.077 * [taylor]: Taking taylor expansion of k in n
2.077 * [backup-simplify]: Simplify k into k
2.077 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.077 * [taylor]: Taking taylor expansion of 1/2 in n
2.077 * [backup-simplify]: Simplify 1/2 into 1/2
2.077 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.077 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.077 * [taylor]: Taking taylor expansion of -2 in n
2.077 * [backup-simplify]: Simplify -2 into -2
2.077 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.077 * [taylor]: Taking taylor expansion of PI in n
2.077 * [backup-simplify]: Simplify PI into PI
2.077 * [taylor]: Taking taylor expansion of n in n
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 1 into 1
2.078 * [backup-simplify]: Simplify (/ PI 1) into PI
2.078 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.080 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.080 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.080 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.081 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.082 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.084 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.084 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.084 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.084 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.084 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.084 * [taylor]: Taking taylor expansion of 1/2 in n
2.084 * [backup-simplify]: Simplify 1/2 into 1/2
2.084 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.084 * [taylor]: Taking taylor expansion of k in n
2.084 * [backup-simplify]: Simplify k into k
2.084 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.084 * [taylor]: Taking taylor expansion of 1/2 in n
2.084 * [backup-simplify]: Simplify 1/2 into 1/2
2.084 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.084 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.084 * [taylor]: Taking taylor expansion of -2 in n
2.084 * [backup-simplify]: Simplify -2 into -2
2.084 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.084 * [taylor]: Taking taylor expansion of PI in n
2.084 * [backup-simplify]: Simplify PI into PI
2.084 * [taylor]: Taking taylor expansion of n in n
2.084 * [backup-simplify]: Simplify 0 into 0
2.084 * [backup-simplify]: Simplify 1 into 1
2.085 * [backup-simplify]: Simplify (/ PI 1) into PI
2.085 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.086 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.086 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.086 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.087 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.087 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.088 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.088 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.088 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.088 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.088 * [taylor]: Taking taylor expansion of 1/2 in k
2.088 * [backup-simplify]: Simplify 1/2 into 1/2
2.088 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.088 * [taylor]: Taking taylor expansion of k in k
2.088 * [backup-simplify]: Simplify 0 into 0
2.088 * [backup-simplify]: Simplify 1 into 1
2.089 * [backup-simplify]: Simplify (/ 1 1) into 1
2.089 * [taylor]: Taking taylor expansion of 1/2 in k
2.089 * [backup-simplify]: Simplify 1/2 into 1/2
2.089 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.089 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.089 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.089 * [taylor]: Taking taylor expansion of -2 in k
2.089 * [backup-simplify]: Simplify -2 into -2
2.089 * [taylor]: Taking taylor expansion of PI in k
2.089 * [backup-simplify]: Simplify PI into PI
2.089 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.090 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.090 * [taylor]: Taking taylor expansion of (log n) in k
2.090 * [taylor]: Taking taylor expansion of n in k
2.090 * [backup-simplify]: Simplify n into n
2.090 * [backup-simplify]: Simplify (log n) into (log n)
2.090 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.090 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.090 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.091 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.092 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.092 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.093 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.094 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.096 * [backup-simplify]: Simplify (+ 0 0) into 0
2.097 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.098 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.099 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.099 * [taylor]: Taking taylor expansion of 0 in k
2.099 * [backup-simplify]: Simplify 0 into 0
2.099 * [backup-simplify]: Simplify 0 into 0
2.099 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.101 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.103 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
2.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.104 * [backup-simplify]: Simplify (+ 0 0) into 0
2.104 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.105 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.107 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.107 * [taylor]: Taking taylor expansion of 0 in k
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.108 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.112 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
2.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.113 * [backup-simplify]: Simplify (+ 0 0) into 0
2.114 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.115 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
2.119 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.119 * [taylor]: Taking taylor expansion of 0 in k
2.119 * [backup-simplify]: Simplify 0 into 0
2.119 * [backup-simplify]: Simplify 0 into 0
2.121 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
2.121 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
2.121 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
2.121 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
2.121 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.121 * [taylor]: Taking taylor expansion of 2 in n
2.121 * [backup-simplify]: Simplify 2 into 2
2.121 * [taylor]: Taking taylor expansion of (* n PI) in n
2.121 * [taylor]: Taking taylor expansion of n in n
2.121 * [backup-simplify]: Simplify 0 into 0
2.121 * [backup-simplify]: Simplify 1 into 1
2.121 * [taylor]: Taking taylor expansion of PI in n
2.121 * [backup-simplify]: Simplify PI into PI
2.121 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.121 * [taylor]: Taking taylor expansion of 2 in n
2.121 * [backup-simplify]: Simplify 2 into 2
2.122 * [taylor]: Taking taylor expansion of (* n PI) in n
2.122 * [taylor]: Taking taylor expansion of n in n
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify 1 into 1
2.122 * [taylor]: Taking taylor expansion of PI in n
2.122 * [backup-simplify]: Simplify PI into PI
2.122 * [backup-simplify]: Simplify (* 0 PI) into 0
2.123 * [backup-simplify]: Simplify (* 2 0) into 0
2.123 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.126 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.126 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.127 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.128 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.128 * [backup-simplify]: Simplify 0 into 0
2.130 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.131 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.131 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.133 * [backup-simplify]: Simplify 0 into 0
2.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.137 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
2.137 * [backup-simplify]: Simplify 0 into 0
2.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
2.140 * [backup-simplify]: Simplify 0 into 0
2.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
2.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
2.144 * [backup-simplify]: Simplify 0 into 0
2.145 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
2.145 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
2.145 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
2.145 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.145 * [taylor]: Taking taylor expansion of 2 in n
2.145 * [backup-simplify]: Simplify 2 into 2
2.145 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.145 * [taylor]: Taking taylor expansion of PI in n
2.145 * [backup-simplify]: Simplify PI into PI
2.145 * [taylor]: Taking taylor expansion of n in n
2.145 * [backup-simplify]: Simplify 0 into 0
2.145 * [backup-simplify]: Simplify 1 into 1
2.145 * [backup-simplify]: Simplify (/ PI 1) into PI
2.145 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.145 * [taylor]: Taking taylor expansion of 2 in n
2.145 * [backup-simplify]: Simplify 2 into 2
2.145 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.145 * [taylor]: Taking taylor expansion of PI in n
2.145 * [backup-simplify]: Simplify PI into PI
2.145 * [taylor]: Taking taylor expansion of n in n
2.145 * [backup-simplify]: Simplify 0 into 0
2.145 * [backup-simplify]: Simplify 1 into 1
2.146 * [backup-simplify]: Simplify (/ PI 1) into PI
2.146 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.146 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.147 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.147 * [backup-simplify]: Simplify 0 into 0
2.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.149 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.150 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.150 * [backup-simplify]: Simplify 0 into 0
2.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.151 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.151 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.153 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.153 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.155 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.155 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
2.155 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
2.155 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
2.155 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.155 * [taylor]: Taking taylor expansion of -2 in n
2.155 * [backup-simplify]: Simplify -2 into -2
2.155 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.155 * [taylor]: Taking taylor expansion of PI in n
2.155 * [backup-simplify]: Simplify PI into PI
2.155 * [taylor]: Taking taylor expansion of n in n
2.155 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify 1 into 1
2.156 * [backup-simplify]: Simplify (/ PI 1) into PI
2.156 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.156 * [taylor]: Taking taylor expansion of -2 in n
2.156 * [backup-simplify]: Simplify -2 into -2
2.156 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.156 * [taylor]: Taking taylor expansion of PI in n
2.156 * [backup-simplify]: Simplify PI into PI
2.156 * [taylor]: Taking taylor expansion of n in n
2.156 * [backup-simplify]: Simplify 0 into 0
2.156 * [backup-simplify]: Simplify 1 into 1
2.156 * [backup-simplify]: Simplify (/ PI 1) into PI
2.157 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.157 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.158 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.158 * [backup-simplify]: Simplify 0 into 0
2.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.159 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.159 * [backup-simplify]: Simplify 0 into 0
2.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.160 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.160 * [backup-simplify]: Simplify 0 into 0
2.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.162 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.162 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.163 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.164 * [backup-simplify]: Simplify 0 into 0
2.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.165 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.165 * [backup-simplify]: Simplify 0 into 0
2.166 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
2.166 * * * * [progress]: [ 3 / 3 ] generating series at (2)
2.166 * [backup-simplify]: Simplify (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
2.166 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
2.166 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
2.166 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.166 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.166 * [taylor]: Taking taylor expansion of k in k
2.166 * [backup-simplify]: Simplify 0 into 0
2.166 * [backup-simplify]: Simplify 1 into 1
2.166 * [backup-simplify]: Simplify (/ 1 1) into 1
2.166 * [backup-simplify]: Simplify (sqrt 0) into 0
2.167 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.167 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
2.167 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
2.167 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
2.167 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.167 * [taylor]: Taking taylor expansion of 1/2 in k
2.167 * [backup-simplify]: Simplify 1/2 into 1/2
2.167 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.167 * [taylor]: Taking taylor expansion of 1/2 in k
2.167 * [backup-simplify]: Simplify 1/2 into 1/2
2.167 * [taylor]: Taking taylor expansion of k in k
2.167 * [backup-simplify]: Simplify 0 into 0
2.167 * [backup-simplify]: Simplify 1 into 1
2.167 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.168 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.168 * [taylor]: Taking taylor expansion of 2 in k
2.168 * [backup-simplify]: Simplify 2 into 2
2.168 * [taylor]: Taking taylor expansion of (* n PI) in k
2.168 * [taylor]: Taking taylor expansion of n in k
2.168 * [backup-simplify]: Simplify n into n
2.168 * [taylor]: Taking taylor expansion of PI in k
2.168 * [backup-simplify]: Simplify PI into PI
2.168 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.168 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.168 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.168 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.168 * [backup-simplify]: Simplify (- 0) into 0
2.169 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.169 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.169 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.169 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.169 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.169 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.169 * [taylor]: Taking taylor expansion of k in n
2.169 * [backup-simplify]: Simplify k into k
2.169 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.169 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.169 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.169 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.169 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.169 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.169 * [taylor]: Taking taylor expansion of 1/2 in n
2.169 * [backup-simplify]: Simplify 1/2 into 1/2
2.169 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.170 * [taylor]: Taking taylor expansion of 1/2 in n
2.170 * [backup-simplify]: Simplify 1/2 into 1/2
2.170 * [taylor]: Taking taylor expansion of k in n
2.170 * [backup-simplify]: Simplify k into k
2.170 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.170 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.170 * [taylor]: Taking taylor expansion of 2 in n
2.170 * [backup-simplify]: Simplify 2 into 2
2.170 * [taylor]: Taking taylor expansion of (* n PI) in n
2.170 * [taylor]: Taking taylor expansion of n in n
2.170 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify 1 into 1
2.170 * [taylor]: Taking taylor expansion of PI in n
2.170 * [backup-simplify]: Simplify PI into PI
2.170 * [backup-simplify]: Simplify (* 0 PI) into 0
2.171 * [backup-simplify]: Simplify (* 2 0) into 0
2.172 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.174 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.175 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.175 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.175 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.175 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.177 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.178 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.179 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.179 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.179 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.179 * [taylor]: Taking taylor expansion of k in n
2.179 * [backup-simplify]: Simplify k into k
2.179 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.179 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.179 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.179 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.180 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.180 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.180 * [taylor]: Taking taylor expansion of 1/2 in n
2.180 * [backup-simplify]: Simplify 1/2 into 1/2
2.180 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.180 * [taylor]: Taking taylor expansion of 1/2 in n
2.180 * [backup-simplify]: Simplify 1/2 into 1/2
2.180 * [taylor]: Taking taylor expansion of k in n
2.180 * [backup-simplify]: Simplify k into k
2.180 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.180 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.180 * [taylor]: Taking taylor expansion of 2 in n
2.180 * [backup-simplify]: Simplify 2 into 2
2.180 * [taylor]: Taking taylor expansion of (* n PI) in n
2.180 * [taylor]: Taking taylor expansion of n in n
2.180 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify 1 into 1
2.180 * [taylor]: Taking taylor expansion of PI in n
2.180 * [backup-simplify]: Simplify PI into PI
2.181 * [backup-simplify]: Simplify (* 0 PI) into 0
2.181 * [backup-simplify]: Simplify (* 2 0) into 0
2.183 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.184 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.185 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.185 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.186 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.186 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.187 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.188 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.190 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.191 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k)))
2.191 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
2.191 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.191 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.191 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.191 * [taylor]: Taking taylor expansion of 1/2 in k
2.191 * [backup-simplify]: Simplify 1/2 into 1/2
2.191 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.191 * [taylor]: Taking taylor expansion of 1/2 in k
2.192 * [backup-simplify]: Simplify 1/2 into 1/2
2.192 * [taylor]: Taking taylor expansion of k in k
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify 1 into 1
2.192 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.192 * [taylor]: Taking taylor expansion of (log n) in k
2.192 * [taylor]: Taking taylor expansion of n in k
2.192 * [backup-simplify]: Simplify n into n
2.192 * [backup-simplify]: Simplify (log n) into (log n)
2.192 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.192 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.192 * [taylor]: Taking taylor expansion of 2 in k
2.192 * [backup-simplify]: Simplify 2 into 2
2.192 * [taylor]: Taking taylor expansion of PI in k
2.192 * [backup-simplify]: Simplify PI into PI
2.192 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.194 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.194 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.194 * [backup-simplify]: Simplify (- 0) into 0
2.195 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.196 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.198 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.199 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.199 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.199 * [taylor]: Taking taylor expansion of k in k
2.199 * [backup-simplify]: Simplify 0 into 0
2.199 * [backup-simplify]: Simplify 1 into 1
2.199 * [backup-simplify]: Simplify (/ 1 1) into 1
2.200 * [backup-simplify]: Simplify (sqrt 0) into 0
2.201 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.202 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
2.202 * [backup-simplify]: Simplify 0 into 0
2.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.205 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.208 * [backup-simplify]: Simplify (- 0) into 0
2.208 * [backup-simplify]: Simplify (+ 0 0) into 0
2.210 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.211 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.213 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.214 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
2.214 * [taylor]: Taking taylor expansion of 0 in k
2.214 * [backup-simplify]: Simplify 0 into 0
2.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.216 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.218 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.218 * [backup-simplify]: Simplify (+ 0 0) into 0
2.219 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.220 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.220 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.225 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.230 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.231 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.238 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.239 * [backup-simplify]: Simplify (- 0) into 0
2.239 * [backup-simplify]: Simplify (+ 0 0) into 0
2.241 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.243 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.246 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.247 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
2.248 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
2.248 * [taylor]: Taking taylor expansion of 0 in k
2.248 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.255 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.258 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.259 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.262 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.263 * [backup-simplify]: Simplify (+ 0 0) into 0
2.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.265 * [backup-simplify]: Simplify (- 0) into 0
2.265 * [backup-simplify]: Simplify (+ 0 0) into 0
2.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.271 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.281 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
2.286 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
2.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.289 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.295 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
2.297 * [backup-simplify]: Simplify (- 0) into 0
2.297 * [backup-simplify]: Simplify (+ 0 0) into 0
2.299 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.301 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.303 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
2.307 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
2.307 * [taylor]: Taking taylor expansion of 0 in k
2.307 * [backup-simplify]: Simplify 0 into 0
2.307 * [backup-simplify]: Simplify 0 into 0
2.307 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.314 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
2.316 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.321 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.322 * [backup-simplify]: Simplify (+ 0 0) into 0
2.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.323 * [backup-simplify]: Simplify (- 0) into 0
2.323 * [backup-simplify]: Simplify (+ 0 0) into 0
2.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.332 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.351 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
2.363 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
2.382 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
2.382 * [backup-simplify]: Simplify (/ (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
2.382 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
2.382 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
2.382 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.382 * [taylor]: Taking taylor expansion of k in k
2.382 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify 1 into 1
2.383 * [backup-simplify]: Simplify (sqrt 0) into 0
2.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.384 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.384 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.384 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.384 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.384 * [taylor]: Taking taylor expansion of 1/2 in k
2.384 * [backup-simplify]: Simplify 1/2 into 1/2
2.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.384 * [taylor]: Taking taylor expansion of 1/2 in k
2.384 * [backup-simplify]: Simplify 1/2 into 1/2
2.384 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.384 * [taylor]: Taking taylor expansion of k in k
2.384 * [backup-simplify]: Simplify 0 into 0
2.385 * [backup-simplify]: Simplify 1 into 1
2.385 * [backup-simplify]: Simplify (/ 1 1) into 1
2.385 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.385 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.385 * [taylor]: Taking taylor expansion of 2 in k
2.385 * [backup-simplify]: Simplify 2 into 2
2.385 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.385 * [taylor]: Taking taylor expansion of PI in k
2.385 * [backup-simplify]: Simplify PI into PI
2.385 * [taylor]: Taking taylor expansion of n in k
2.385 * [backup-simplify]: Simplify n into n
2.385 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.385 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.385 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.386 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.386 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.387 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.387 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.387 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.387 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.387 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.387 * [taylor]: Taking taylor expansion of k in n
2.387 * [backup-simplify]: Simplify k into k
2.387 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.387 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.387 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.387 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.387 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.387 * [taylor]: Taking taylor expansion of 1/2 in n
2.387 * [backup-simplify]: Simplify 1/2 into 1/2
2.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.387 * [taylor]: Taking taylor expansion of 1/2 in n
2.387 * [backup-simplify]: Simplify 1/2 into 1/2
2.387 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.387 * [taylor]: Taking taylor expansion of k in n
2.387 * [backup-simplify]: Simplify k into k
2.387 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.387 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.387 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.387 * [taylor]: Taking taylor expansion of 2 in n
2.387 * [backup-simplify]: Simplify 2 into 2
2.387 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.388 * [taylor]: Taking taylor expansion of PI in n
2.388 * [backup-simplify]: Simplify PI into PI
2.388 * [taylor]: Taking taylor expansion of n in n
2.388 * [backup-simplify]: Simplify 0 into 0
2.388 * [backup-simplify]: Simplify 1 into 1
2.388 * [backup-simplify]: Simplify (/ PI 1) into PI
2.389 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.390 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.390 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.390 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.390 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.391 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.395 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.397 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.397 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.397 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.397 * [taylor]: Taking taylor expansion of k in n
2.397 * [backup-simplify]: Simplify k into k
2.397 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.397 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.397 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.397 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.397 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.397 * [taylor]: Taking taylor expansion of 1/2 in n
2.397 * [backup-simplify]: Simplify 1/2 into 1/2
2.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.397 * [taylor]: Taking taylor expansion of 1/2 in n
2.397 * [backup-simplify]: Simplify 1/2 into 1/2
2.397 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.397 * [taylor]: Taking taylor expansion of k in n
2.397 * [backup-simplify]: Simplify k into k
2.397 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.397 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.397 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.397 * [taylor]: Taking taylor expansion of 2 in n
2.397 * [backup-simplify]: Simplify 2 into 2
2.397 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.397 * [taylor]: Taking taylor expansion of PI in n
2.397 * [backup-simplify]: Simplify PI into PI
2.397 * [taylor]: Taking taylor expansion of n in n
2.397 * [backup-simplify]: Simplify 0 into 0
2.397 * [backup-simplify]: Simplify 1 into 1
2.398 * [backup-simplify]: Simplify (/ PI 1) into PI
2.398 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.399 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.399 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.399 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.400 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.402 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.403 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.405 * [backup-simplify]: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
2.405 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
2.405 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.405 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.405 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.405 * [taylor]: Taking taylor expansion of 1/2 in k
2.405 * [backup-simplify]: Simplify 1/2 into 1/2
2.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.405 * [taylor]: Taking taylor expansion of 1/2 in k
2.405 * [backup-simplify]: Simplify 1/2 into 1/2
2.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.405 * [taylor]: Taking taylor expansion of k in k
2.405 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify 1 into 1
2.405 * [backup-simplify]: Simplify (/ 1 1) into 1
2.405 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.405 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.405 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.405 * [taylor]: Taking taylor expansion of 2 in k
2.405 * [backup-simplify]: Simplify 2 into 2
2.405 * [taylor]: Taking taylor expansion of PI in k
2.406 * [backup-simplify]: Simplify PI into PI
2.406 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.407 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.407 * [taylor]: Taking taylor expansion of (log n) in k
2.407 * [taylor]: Taking taylor expansion of n in k
2.407 * [backup-simplify]: Simplify n into n
2.407 * [backup-simplify]: Simplify (log n) into (log n)
2.408 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.408 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.408 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.408 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.410 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.411 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.412 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.412 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.412 * [taylor]: Taking taylor expansion of k in k
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 1 into 1
2.412 * [backup-simplify]: Simplify (sqrt 0) into 0
2.414 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.415 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
2.415 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.417 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.419 * [backup-simplify]: Simplify (- 0) into 0
2.420 * [backup-simplify]: Simplify (+ 0 0) into 0
2.421 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.423 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.425 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.426 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
2.426 * [taylor]: Taking taylor expansion of 0 in k
2.426 * [backup-simplify]: Simplify 0 into 0
2.426 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.429 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.434 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.436 * [backup-simplify]: Simplify (- 0) into 0
2.436 * [backup-simplify]: Simplify (+ 0 0) into 0
2.438 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.439 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.442 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.442 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
2.444 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
2.444 * [taylor]: Taking taylor expansion of 0 in k
2.444 * [backup-simplify]: Simplify 0 into 0
2.444 * [backup-simplify]: Simplify 0 into 0
2.444 * [backup-simplify]: Simplify 0 into 0
2.447 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.449 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.450 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.453 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.458 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.460 * [backup-simplify]: Simplify (- 0) into 0
2.460 * [backup-simplify]: Simplify (+ 0 0) into 0
2.462 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.464 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.466 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
2.469 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
2.469 * [taylor]: Taking taylor expansion of 0 in k
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.475 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.477 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.481 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
2.482 * [backup-simplify]: Simplify (/ (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
2.482 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
2.482 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
2.482 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.482 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.482 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.482 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.482 * [taylor]: Taking taylor expansion of 1/2 in k
2.482 * [backup-simplify]: Simplify 1/2 into 1/2
2.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.482 * [taylor]: Taking taylor expansion of k in k
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 1 into 1
2.482 * [backup-simplify]: Simplify (/ 1 1) into 1
2.482 * [taylor]: Taking taylor expansion of 1/2 in k
2.482 * [backup-simplify]: Simplify 1/2 into 1/2
2.482 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.482 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.482 * [taylor]: Taking taylor expansion of -2 in k
2.482 * [backup-simplify]: Simplify -2 into -2
2.483 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.483 * [taylor]: Taking taylor expansion of PI in k
2.483 * [backup-simplify]: Simplify PI into PI
2.483 * [taylor]: Taking taylor expansion of n in k
2.483 * [backup-simplify]: Simplify n into n
2.483 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.483 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.483 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.483 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.484 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.484 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.484 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
2.484 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.484 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.484 * [taylor]: Taking taylor expansion of -1 in k
2.484 * [backup-simplify]: Simplify -1 into -1
2.484 * [taylor]: Taking taylor expansion of k in k
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify 1 into 1
2.485 * [backup-simplify]: Simplify (/ -1 1) into -1
2.485 * [backup-simplify]: Simplify (sqrt 0) into 0
2.486 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.486 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
2.486 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.487 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.487 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.487 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.487 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.487 * [taylor]: Taking taylor expansion of 1/2 in n
2.487 * [backup-simplify]: Simplify 1/2 into 1/2
2.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.487 * [taylor]: Taking taylor expansion of k in n
2.487 * [backup-simplify]: Simplify k into k
2.487 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.487 * [taylor]: Taking taylor expansion of 1/2 in n
2.487 * [backup-simplify]: Simplify 1/2 into 1/2
2.487 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.487 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.487 * [taylor]: Taking taylor expansion of -2 in n
2.487 * [backup-simplify]: Simplify -2 into -2
2.487 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.487 * [taylor]: Taking taylor expansion of PI in n
2.487 * [backup-simplify]: Simplify PI into PI
2.487 * [taylor]: Taking taylor expansion of n in n
2.487 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify 1 into 1
2.488 * [backup-simplify]: Simplify (/ PI 1) into PI
2.488 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.489 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.489 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.489 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.491 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.492 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.493 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.493 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.493 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.493 * [taylor]: Taking taylor expansion of -1 in n
2.493 * [backup-simplify]: Simplify -1 into -1
2.493 * [taylor]: Taking taylor expansion of k in n
2.493 * [backup-simplify]: Simplify k into k
2.493 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.494 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.494 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.495 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
2.495 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.495 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.495 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.495 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.495 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.495 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.495 * [taylor]: Taking taylor expansion of 1/2 in n
2.495 * [backup-simplify]: Simplify 1/2 into 1/2
2.495 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.495 * [taylor]: Taking taylor expansion of k in n
2.495 * [backup-simplify]: Simplify k into k
2.495 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.495 * [taylor]: Taking taylor expansion of 1/2 in n
2.495 * [backup-simplify]: Simplify 1/2 into 1/2
2.495 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.495 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.495 * [taylor]: Taking taylor expansion of -2 in n
2.495 * [backup-simplify]: Simplify -2 into -2
2.495 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.496 * [taylor]: Taking taylor expansion of PI in n
2.496 * [backup-simplify]: Simplify PI into PI
2.496 * [taylor]: Taking taylor expansion of n in n
2.496 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify 1 into 1
2.496 * [backup-simplify]: Simplify (/ PI 1) into PI
2.497 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.498 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.498 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.498 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.499 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.501 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.502 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.502 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.502 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.502 * [taylor]: Taking taylor expansion of -1 in n
2.502 * [backup-simplify]: Simplify -1 into -1
2.502 * [taylor]: Taking taylor expansion of k in n
2.502 * [backup-simplify]: Simplify k into k
2.502 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.502 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.502 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.503 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
2.504 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
2.504 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.504 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.504 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.504 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.504 * [taylor]: Taking taylor expansion of 1/2 in k
2.504 * [backup-simplify]: Simplify 1/2 into 1/2
2.504 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.504 * [taylor]: Taking taylor expansion of k in k
2.504 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify 1 into 1
2.504 * [backup-simplify]: Simplify (/ 1 1) into 1
2.504 * [taylor]: Taking taylor expansion of 1/2 in k
2.504 * [backup-simplify]: Simplify 1/2 into 1/2
2.504 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.504 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.504 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.504 * [taylor]: Taking taylor expansion of -2 in k
2.504 * [backup-simplify]: Simplify -2 into -2
2.504 * [taylor]: Taking taylor expansion of PI in k
2.504 * [backup-simplify]: Simplify PI into PI
2.505 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.506 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.506 * [taylor]: Taking taylor expansion of (log n) in k
2.506 * [taylor]: Taking taylor expansion of n in k
2.506 * [backup-simplify]: Simplify n into n
2.506 * [backup-simplify]: Simplify (log n) into (log n)
2.506 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.507 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.507 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.508 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.509 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.511 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.511 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.511 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.511 * [taylor]: Taking taylor expansion of -1 in k
2.511 * [backup-simplify]: Simplify -1 into -1
2.511 * [taylor]: Taking taylor expansion of k in k
2.511 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify 1 into 1
2.511 * [backup-simplify]: Simplify (/ -1 1) into -1
2.512 * [backup-simplify]: Simplify (sqrt 0) into 0
2.513 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.514 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
2.516 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
2.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.517 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.520 * [backup-simplify]: Simplify (+ 0 0) into 0
2.522 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.523 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.525 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.526 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
2.526 * [taylor]: Taking taylor expansion of 0 in k
2.526 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify 0 into 0
2.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.530 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.532 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.533 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.539 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.542 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
2.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.543 * [backup-simplify]: Simplify (+ 0 0) into 0
2.545 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.546 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.549 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.549 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.550 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
2.551 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
2.551 * [taylor]: Taking taylor expansion of 0 in k
2.551 * [backup-simplify]: Simplify 0 into 0
2.551 * [backup-simplify]: Simplify 0 into 0
2.551 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.560 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.561 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.563 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
2.564 * * * [progress]: simplifying candidates
2.564 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.564 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.564 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.564 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.564 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.564 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.564 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.564 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
2.564 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))>
2.564 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
2.564 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.564 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))>
2.564 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k)))>
2.564 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.564 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
2.564 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
2.564 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
2.564 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.564 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.564 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.564 * * * * [progress]: [ 21 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.564 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.564 * * * * [progress]: [ 23 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.564 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))>
2.565 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.565 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 36 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (* (cbrt PI) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) 1) PI) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
2.565 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1))>
2.565 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.565 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.565 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.565 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.566 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
2.566 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.566 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.566 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
2.566 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.566 * * * * [progress]: [ 56 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.566 * * * * [progress]: [ 57 / 127 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.566 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (sqrt k))))>
2.566 * * * * [progress]: [ 59 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))>
2.566 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))))>
2.566 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
2.566 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt 1)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
2.566 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
2.566 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
2.566 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))>
2.566 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))))>
2.566 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
2.566 * * * * [progress]: [ 68 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt 1)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
2.566 * * * * [progress]: [ 69 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
2.566 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
2.566 * * * * [progress]: [ 71 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
2.566 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
2.566 * * * * [progress]: [ 73 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.566 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
2.566 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.567 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
2.567 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
2.567 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
2.567 * * * * [progress]: [ 79 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.567 * * * * [progress]: [ 80 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
2.567 * * * * [progress]: [ 81 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.567 * * * * [progress]: [ 82 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
2.567 * * * * [progress]: [ 83 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
2.567 * * * * [progress]: [ 84 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
2.567 * * * * [progress]: [ 85 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.567 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
2.567 * * * * [progress]: [ 87 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.567 * * * * [progress]: [ 88 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
2.567 * * * * [progress]: [ 89 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
2.567 * * * * [progress]: [ 90 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
2.567 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.567 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.567 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.567 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.567 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))>
2.567 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))>
2.567 * * * * [progress]: [ 97 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
2.567 * * * * [progress]: [ 98 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
2.567 * * * * [progress]: [ 99 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
2.567 * * * * [progress]: [ 100 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
2.568 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.568 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
2.568 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
2.568 * * * * [progress]: [ 104 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
2.568 * * * * [progress]: [ 105 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
2.568 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.568 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
2.568 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.568 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.568 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
2.568 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
2.568 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
2.568 * * * * [progress]: [ 113 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
2.568 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
2.568 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
2.568 * * * * [progress]: [ 116 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))))>
2.568 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
2.568 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.568 * * * * [progress]: [ 119 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
2.568 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
2.568 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
2.568 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.568 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.568 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.568 * * * * [progress]: [ 125 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
2.569 * * * * [progress]: [ 126 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
2.569 * * * * [progress]: [ 127 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
2.570 * [simplify]: Simplifying:
  (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (/ k 2))
  (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (+ (log n) (log 2)) (log PI))
  (+ (log (* n 2)) (log PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))
  (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (* n 2) (* (cbrt PI) (cbrt PI)))
  (* (* n 2) (sqrt PI))
  (* (* n 2) 1)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (- (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) 1)
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) 1)
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) 1)
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) 1)
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1)
  (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))
  (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))
  (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
2.573 * * [simplify]: iteration 0: 271 enodes
2.681 * * [simplify]: iteration 1: 662 enodes
2.901 * * [simplify]: iteration 2: 2001 enodes
3.310 * * [simplify]: iteration complete: 2001 enodes
3.311 * * [simplify]: Extracting #0: cost 99 inf + 0
3.311 * * [simplify]: Extracting #1: cost 342 inf + 1
3.313 * * [simplify]: Extracting #2: cost 590 inf + 1931
3.318 * * [simplify]: Extracting #3: cost 627 inf + 25636
3.329 * * [simplify]: Extracting #4: cost 438 inf + 90869
3.356 * * [simplify]: Extracting #5: cost 214 inf + 189941
3.421 * * [simplify]: Extracting #6: cost 112 inf + 249014
3.508 * * [simplify]: Extracting #7: cost 30 inf + 300427
3.585 * * [simplify]: Extracting #8: cost 3 inf + 322021
3.691 * * [simplify]: Extracting #9: cost 0 inf + 324899
3.799 * * [simplify]: Extracting #10: cost 0 inf + 324779
3.882 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* 2 PI) n) (sqrt (- 1/2 (/ k 2))))
  (* (* 2 PI) n)
  (pow (* (* 2 PI) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* 2 PI) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* 2 PI) n)
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (- (/ k 2)))
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (- (/ k 2)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (exp (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (log (* (* 2 PI) n))
  (log (* (* 2 PI) n))
  (log (* (* 2 PI) n))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* (* n (* n n)) 8) PI) (* PI PI))
  (* (* (* (* PI PI) PI) (* n 2)) (* (* n 2) (* n 2)))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* 2 PI) n) (* (* (* 2 PI) n) (* (* 2 PI) n)))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* (cbrt PI) (cbrt PI)) (* n 2))
  (* (* (sqrt PI) 2) n)
  (* n 2)
  (* 2 PI)
  (real->posit16 (* (* 2 PI) n))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (exp (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (/ (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (* (cbrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (/ (sqrt (* (* 2 PI) n)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* (* 2 PI) n)) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (/ (sqrt (* (* 2 PI) n)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* (* 2 PI) n)) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (fabs (cbrt k)))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt k))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- (/ k 2))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))))
  (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
  (real->posit16 (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (- (+ (+ (+ (* 1/4 (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* (* k k) (log n)) (log (* 2 PI))))) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* (* (log n) (log n)) (* k k)) 1/8))) (exp (* (log (* (* 2 PI) n)) 1/2))) (* (* (* 1/8 (* (log (* 2 PI)) (log (* 2 PI)))) (exp (* (log (* (* 2 PI) n)) 1/2))) (* k k))) (* 1/2 (* k (+ (* (exp (* (log (* (* 2 PI) n)) 1/2)) (log n)) (* (log (* 2 PI)) (exp (* (log (* (* 2 PI) n)) 1/2)))))))
  (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (- (+ (- (* (* (log (* 2 PI)) (exp (* (log (* (* 2 PI) n)) 1/2))) (* (* (* k k) (log n)) +nan.0)) (* (log (* 2 PI)) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* k k) +nan.0)))) (+ (- (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* +nan.0 (* (* (log n) (log n)) (* k k)))) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* +nan.0 k))) (+ (- (* (exp (* (log (* (* 2 PI) n)) 1/2)) +nan.0) (* (* (log (* 2 PI)) (log (* 2 PI))) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* k k) +nan.0)))) (+ (+ (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* (* k k) (log n)) +nan.0)) (- (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* k k) +nan.0)))) (- (* +nan.0 (* (* (log (* 2 PI)) k) (exp (* (log (* (* 2 PI) n)) 1/2)))) (* (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* +nan.0 k)) (log n))))))))
  (+ (/ (- (* +nan.0 (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2)))))) (* (* k k) k)) (* +nan.0 (- (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2)))) k) (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2)))) (* k k)))))
  (+ (* (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) k) (- +nan.0)) (* +nan.0 (- (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))))))
3.902 * * * [progress]: adding candidates to table
4.451 * * [progress]: iteration 2 / 4
4.451 * * * [progress]: picking best candidate
4.482 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
4.483 * * * [progress]: localizing error
4.534 * * * [progress]: generating rewritten candidates
4.534 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
4.565 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
4.589 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
4.594 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
4.632 * * * [progress]: generating series expansions
4.632 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
4.633 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
4.633 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
4.633 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
4.633 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
4.633 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
4.633 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
4.633 * [taylor]: Taking taylor expansion of 1/2 in k
4.633 * [backup-simplify]: Simplify 1/2 into 1/2
4.633 * [taylor]: Taking taylor expansion of (- 1 k) in k
4.633 * [taylor]: Taking taylor expansion of 1 in k
4.633 * [backup-simplify]: Simplify 1 into 1
4.633 * [taylor]: Taking taylor expansion of k in k
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify 1 into 1
4.633 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
4.633 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
4.633 * [taylor]: Taking taylor expansion of 2 in k
4.633 * [backup-simplify]: Simplify 2 into 2
4.633 * [taylor]: Taking taylor expansion of (* n PI) in k
4.633 * [taylor]: Taking taylor expansion of n in k
4.633 * [backup-simplify]: Simplify n into n
4.633 * [taylor]: Taking taylor expansion of PI in k
4.633 * [backup-simplify]: Simplify PI into PI
4.634 * [backup-simplify]: Simplify (* n PI) into (* n PI)
4.634 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
4.634 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
4.634 * [backup-simplify]: Simplify (- 0) into 0
4.634 * [backup-simplify]: Simplify (+ 1 0) into 1
4.635 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.635 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
4.635 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
4.635 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
4.635 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
4.635 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
4.635 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
4.635 * [taylor]: Taking taylor expansion of 1/2 in n
4.635 * [backup-simplify]: Simplify 1/2 into 1/2
4.635 * [taylor]: Taking taylor expansion of (- 1 k) in n
4.635 * [taylor]: Taking taylor expansion of 1 in n
4.635 * [backup-simplify]: Simplify 1 into 1
4.635 * [taylor]: Taking taylor expansion of k in n
4.635 * [backup-simplify]: Simplify k into k
4.635 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.635 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.635 * [taylor]: Taking taylor expansion of 2 in n
4.635 * [backup-simplify]: Simplify 2 into 2
4.635 * [taylor]: Taking taylor expansion of (* n PI) in n
4.635 * [taylor]: Taking taylor expansion of n in n
4.635 * [backup-simplify]: Simplify 0 into 0
4.635 * [backup-simplify]: Simplify 1 into 1
4.635 * [taylor]: Taking taylor expansion of PI in n
4.635 * [backup-simplify]: Simplify PI into PI
4.635 * [backup-simplify]: Simplify (* 0 PI) into 0
4.636 * [backup-simplify]: Simplify (* 2 0) into 0
4.637 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.638 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.638 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.638 * [backup-simplify]: Simplify (- k) into (- k)
4.638 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
4.638 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
4.639 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.640 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
4.641 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
4.641 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
4.641 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
4.641 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
4.641 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
4.641 * [taylor]: Taking taylor expansion of 1/2 in n
4.641 * [backup-simplify]: Simplify 1/2 into 1/2
4.641 * [taylor]: Taking taylor expansion of (- 1 k) in n
4.641 * [taylor]: Taking taylor expansion of 1 in n
4.641 * [backup-simplify]: Simplify 1 into 1
4.641 * [taylor]: Taking taylor expansion of k in n
4.641 * [backup-simplify]: Simplify k into k
4.641 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.641 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.641 * [taylor]: Taking taylor expansion of 2 in n
4.641 * [backup-simplify]: Simplify 2 into 2
4.641 * [taylor]: Taking taylor expansion of (* n PI) in n
4.641 * [taylor]: Taking taylor expansion of n in n
4.641 * [backup-simplify]: Simplify 0 into 0
4.641 * [backup-simplify]: Simplify 1 into 1
4.641 * [taylor]: Taking taylor expansion of PI in n
4.641 * [backup-simplify]: Simplify PI into PI
4.642 * [backup-simplify]: Simplify (* 0 PI) into 0
4.642 * [backup-simplify]: Simplify (* 2 0) into 0
4.643 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.644 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.644 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.644 * [backup-simplify]: Simplify (- k) into (- k)
4.645 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
4.645 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
4.645 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.646 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
4.647 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
4.647 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
4.647 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
4.647 * [taylor]: Taking taylor expansion of 1/2 in k
4.647 * [backup-simplify]: Simplify 1/2 into 1/2
4.647 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
4.647 * [taylor]: Taking taylor expansion of (- 1 k) in k
4.647 * [taylor]: Taking taylor expansion of 1 in k
4.647 * [backup-simplify]: Simplify 1 into 1
4.647 * [taylor]: Taking taylor expansion of k in k
4.647 * [backup-simplify]: Simplify 0 into 0
4.647 * [backup-simplify]: Simplify 1 into 1
4.647 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
4.647 * [taylor]: Taking taylor expansion of (log n) in k
4.647 * [taylor]: Taking taylor expansion of n in k
4.647 * [backup-simplify]: Simplify n into n
4.647 * [backup-simplify]: Simplify (log n) into (log n)
4.647 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
4.647 * [taylor]: Taking taylor expansion of (* 2 PI) in k
4.647 * [taylor]: Taking taylor expansion of 2 in k
4.647 * [backup-simplify]: Simplify 2 into 2
4.647 * [taylor]: Taking taylor expansion of PI in k
4.647 * [backup-simplify]: Simplify PI into PI
4.648 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.651 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.651 * [backup-simplify]: Simplify (- 0) into 0
4.652 * [backup-simplify]: Simplify (+ 1 0) into 1
4.652 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.654 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
4.655 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
4.656 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
4.657 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
4.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
4.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
4.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.662 * [backup-simplify]: Simplify (- 0) into 0
4.662 * [backup-simplify]: Simplify (+ 0 0) into 0
4.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
4.664 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.665 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
4.667 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.667 * [taylor]: Taking taylor expansion of 0 in k
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
4.669 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.671 * [backup-simplify]: Simplify (+ 0 0) into 0
4.671 * [backup-simplify]: Simplify (- 1) into -1
4.672 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.673 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
4.676 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
4.679 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
4.682 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
4.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
4.685 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
4.689 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
4.689 * [backup-simplify]: Simplify (- 0) into 0
4.690 * [backup-simplify]: Simplify (+ 0 0) into 0
4.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
4.692 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.694 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
4.696 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.696 * [taylor]: Taking taylor expansion of 0 in k
4.696 * [backup-simplify]: Simplify 0 into 0
4.696 * [backup-simplify]: Simplify 0 into 0
4.696 * [backup-simplify]: Simplify 0 into 0
4.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
4.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.703 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
4.703 * [backup-simplify]: Simplify (+ 0 0) into 0
4.703 * [backup-simplify]: Simplify (- 0) into 0
4.704 * [backup-simplify]: Simplify (+ 0 0) into 0
4.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
4.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
4.712 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
4.717 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
4.726 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
4.727 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
4.727 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
4.727 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
4.727 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
4.727 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
4.727 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
4.728 * [taylor]: Taking taylor expansion of 1/2 in k
4.728 * [backup-simplify]: Simplify 1/2 into 1/2
4.728 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
4.728 * [taylor]: Taking taylor expansion of 1 in k
4.728 * [backup-simplify]: Simplify 1 into 1
4.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.728 * [taylor]: Taking taylor expansion of k in k
4.728 * [backup-simplify]: Simplify 0 into 0
4.728 * [backup-simplify]: Simplify 1 into 1
4.728 * [backup-simplify]: Simplify (/ 1 1) into 1
4.728 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
4.728 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
4.728 * [taylor]: Taking taylor expansion of 2 in k
4.728 * [backup-simplify]: Simplify 2 into 2
4.728 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.728 * [taylor]: Taking taylor expansion of PI in k
4.728 * [backup-simplify]: Simplify PI into PI
4.728 * [taylor]: Taking taylor expansion of n in k
4.728 * [backup-simplify]: Simplify n into n
4.728 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.729 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
4.729 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
4.729 * [backup-simplify]: Simplify (- 1) into -1
4.729 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.730 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
4.730 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
4.730 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
4.730 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
4.730 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
4.730 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
4.731 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
4.731 * [taylor]: Taking taylor expansion of 1/2 in n
4.731 * [backup-simplify]: Simplify 1/2 into 1/2
4.731 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
4.731 * [taylor]: Taking taylor expansion of 1 in n
4.731 * [backup-simplify]: Simplify 1 into 1
4.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.731 * [taylor]: Taking taylor expansion of k in n
4.731 * [backup-simplify]: Simplify k into k
4.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.731 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.731 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.731 * [taylor]: Taking taylor expansion of 2 in n
4.731 * [backup-simplify]: Simplify 2 into 2
4.731 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.731 * [taylor]: Taking taylor expansion of PI in n
4.731 * [backup-simplify]: Simplify PI into PI
4.731 * [taylor]: Taking taylor expansion of n in n
4.731 * [backup-simplify]: Simplify 0 into 0
4.731 * [backup-simplify]: Simplify 1 into 1
4.732 * [backup-simplify]: Simplify (/ PI 1) into PI
4.732 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.733 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.733 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
4.733 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
4.733 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
4.735 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.736 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
4.737 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.737 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
4.737 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
4.737 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
4.737 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
4.737 * [taylor]: Taking taylor expansion of 1/2 in n
4.737 * [backup-simplify]: Simplify 1/2 into 1/2
4.737 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
4.737 * [taylor]: Taking taylor expansion of 1 in n
4.737 * [backup-simplify]: Simplify 1 into 1
4.737 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.737 * [taylor]: Taking taylor expansion of k in n
4.737 * [backup-simplify]: Simplify k into k
4.738 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.738 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.738 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.738 * [taylor]: Taking taylor expansion of 2 in n
4.738 * [backup-simplify]: Simplify 2 into 2
4.738 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.738 * [taylor]: Taking taylor expansion of PI in n
4.738 * [backup-simplify]: Simplify PI into PI
4.738 * [taylor]: Taking taylor expansion of n in n
4.738 * [backup-simplify]: Simplify 0 into 0
4.738 * [backup-simplify]: Simplify 1 into 1
4.738 * [backup-simplify]: Simplify (/ PI 1) into PI
4.739 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.740 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.740 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
4.740 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
4.740 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
4.742 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.743 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
4.744 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.744 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
4.744 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
4.744 * [taylor]: Taking taylor expansion of 1/2 in k
4.744 * [backup-simplify]: Simplify 1/2 into 1/2
4.744 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
4.745 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
4.745 * [taylor]: Taking taylor expansion of 1 in k
4.745 * [backup-simplify]: Simplify 1 into 1
4.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.745 * [taylor]: Taking taylor expansion of k in k
4.745 * [backup-simplify]: Simplify 0 into 0
4.745 * [backup-simplify]: Simplify 1 into 1
4.745 * [backup-simplify]: Simplify (/ 1 1) into 1
4.745 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
4.745 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
4.745 * [taylor]: Taking taylor expansion of (* 2 PI) in k
4.745 * [taylor]: Taking taylor expansion of 2 in k
4.745 * [backup-simplify]: Simplify 2 into 2
4.745 * [taylor]: Taking taylor expansion of PI in k
4.745 * [backup-simplify]: Simplify PI into PI
4.746 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.747 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.747 * [taylor]: Taking taylor expansion of (log n) in k
4.747 * [taylor]: Taking taylor expansion of n in k
4.747 * [backup-simplify]: Simplify n into n
4.747 * [backup-simplify]: Simplify (log n) into (log n)
4.747 * [backup-simplify]: Simplify (- 1) into -1
4.748 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.748 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
4.749 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
4.750 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
4.751 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
4.752 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.754 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.755 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.757 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.758 * [backup-simplify]: Simplify (- 0) into 0
4.758 * [backup-simplify]: Simplify (+ 0 0) into 0
4.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
4.760 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.762 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
4.763 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.764 * [taylor]: Taking taylor expansion of 0 in k
4.764 * [backup-simplify]: Simplify 0 into 0
4.764 * [backup-simplify]: Simplify 0 into 0
4.764 * [backup-simplify]: Simplify 0 into 0
4.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.765 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.767 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
4.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.767 * [backup-simplify]: Simplify (- 0) into 0
4.768 * [backup-simplify]: Simplify (+ 0 0) into 0
4.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
4.769 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.770 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
4.771 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.772 * [taylor]: Taking taylor expansion of 0 in k
4.772 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.773 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.776 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
4.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.776 * [backup-simplify]: Simplify (- 0) into 0
4.777 * [backup-simplify]: Simplify (+ 0 0) into 0
4.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
4.778 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.782 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
4.784 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.784 * [taylor]: Taking taylor expansion of 0 in k
4.784 * [backup-simplify]: Simplify 0 into 0
4.784 * [backup-simplify]: Simplify 0 into 0
4.784 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
4.785 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
4.785 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
4.785 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
4.785 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
4.785 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
4.785 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
4.785 * [taylor]: Taking taylor expansion of 1/2 in k
4.785 * [backup-simplify]: Simplify 1/2 into 1/2
4.785 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
4.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.785 * [taylor]: Taking taylor expansion of k in k
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify 1 into 1
4.785 * [backup-simplify]: Simplify (/ 1 1) into 1
4.785 * [taylor]: Taking taylor expansion of 1 in k
4.785 * [backup-simplify]: Simplify 1 into 1
4.785 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
4.785 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
4.785 * [taylor]: Taking taylor expansion of -2 in k
4.785 * [backup-simplify]: Simplify -2 into -2
4.785 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.785 * [taylor]: Taking taylor expansion of PI in k
4.785 * [backup-simplify]: Simplify PI into PI
4.786 * [taylor]: Taking taylor expansion of n in k
4.786 * [backup-simplify]: Simplify n into n
4.786 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.786 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
4.786 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
4.786 * [backup-simplify]: Simplify (+ 1 0) into 1
4.786 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.786 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
4.786 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
4.786 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
4.786 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
4.786 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
4.787 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
4.787 * [taylor]: Taking taylor expansion of 1/2 in n
4.787 * [backup-simplify]: Simplify 1/2 into 1/2
4.787 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
4.787 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.787 * [taylor]: Taking taylor expansion of k in n
4.787 * [backup-simplify]: Simplify k into k
4.787 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.787 * [taylor]: Taking taylor expansion of 1 in n
4.787 * [backup-simplify]: Simplify 1 into 1
4.787 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
4.787 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.787 * [taylor]: Taking taylor expansion of -2 in n
4.787 * [backup-simplify]: Simplify -2 into -2
4.787 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.787 * [taylor]: Taking taylor expansion of PI in n
4.787 * [backup-simplify]: Simplify PI into PI
4.787 * [taylor]: Taking taylor expansion of n in n
4.787 * [backup-simplify]: Simplify 0 into 0
4.787 * [backup-simplify]: Simplify 1 into 1
4.787 * [backup-simplify]: Simplify (/ PI 1) into PI
4.788 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.788 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.788 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
4.788 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
4.789 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.790 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
4.791 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
4.791 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
4.791 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
4.791 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
4.791 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
4.791 * [taylor]: Taking taylor expansion of 1/2 in n
4.791 * [backup-simplify]: Simplify 1/2 into 1/2
4.791 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
4.791 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.791 * [taylor]: Taking taylor expansion of k in n
4.791 * [backup-simplify]: Simplify k into k
4.791 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.791 * [taylor]: Taking taylor expansion of 1 in n
4.791 * [backup-simplify]: Simplify 1 into 1
4.791 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
4.791 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.791 * [taylor]: Taking taylor expansion of -2 in n
4.791 * [backup-simplify]: Simplify -2 into -2
4.791 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.791 * [taylor]: Taking taylor expansion of PI in n
4.791 * [backup-simplify]: Simplify PI into PI
4.791 * [taylor]: Taking taylor expansion of n in n
4.791 * [backup-simplify]: Simplify 0 into 0
4.791 * [backup-simplify]: Simplify 1 into 1
4.792 * [backup-simplify]: Simplify (/ PI 1) into PI
4.792 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.793 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.793 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
4.793 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
4.794 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.794 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
4.795 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
4.795 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
4.795 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
4.795 * [taylor]: Taking taylor expansion of 1/2 in k
4.795 * [backup-simplify]: Simplify 1/2 into 1/2
4.795 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
4.795 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
4.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.795 * [taylor]: Taking taylor expansion of k in k
4.795 * [backup-simplify]: Simplify 0 into 0
4.795 * [backup-simplify]: Simplify 1 into 1
4.796 * [backup-simplify]: Simplify (/ 1 1) into 1
4.796 * [taylor]: Taking taylor expansion of 1 in k
4.796 * [backup-simplify]: Simplify 1 into 1
4.796 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
4.796 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
4.796 * [taylor]: Taking taylor expansion of (* -2 PI) in k
4.796 * [taylor]: Taking taylor expansion of -2 in k
4.796 * [backup-simplify]: Simplify -2 into -2
4.796 * [taylor]: Taking taylor expansion of PI in k
4.796 * [backup-simplify]: Simplify PI into PI
4.796 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.797 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.797 * [taylor]: Taking taylor expansion of (log n) in k
4.797 * [taylor]: Taking taylor expansion of n in k
4.797 * [backup-simplify]: Simplify n into n
4.797 * [backup-simplify]: Simplify (log n) into (log n)
4.797 * [backup-simplify]: Simplify (+ 1 0) into 1
4.797 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
4.798 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
4.799 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
4.799 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
4.800 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
4.801 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
4.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.802 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
4.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
4.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.803 * [backup-simplify]: Simplify (+ 0 0) into 0
4.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
4.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.806 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
4.808 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.808 * [taylor]: Taking taylor expansion of 0 in k
4.808 * [backup-simplify]: Simplify 0 into 0
4.808 * [backup-simplify]: Simplify 0 into 0
4.808 * [backup-simplify]: Simplify 0 into 0
4.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.810 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
4.814 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
4.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.814 * [backup-simplify]: Simplify (+ 0 0) into 0
4.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
4.817 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.818 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
4.821 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.821 * [taylor]: Taking taylor expansion of 0 in k
4.821 * [backup-simplify]: Simplify 0 into 0
4.821 * [backup-simplify]: Simplify 0 into 0
4.821 * [backup-simplify]: Simplify 0 into 0
4.821 * [backup-simplify]: Simplify 0 into 0
4.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.822 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.826 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
4.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.826 * [backup-simplify]: Simplify (+ 0 0) into 0
4.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
4.828 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.829 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
4.831 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.831 * [taylor]: Taking taylor expansion of 0 in k
4.831 * [backup-simplify]: Simplify 0 into 0
4.831 * [backup-simplify]: Simplify 0 into 0
4.832 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
4.832 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
4.832 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
4.832 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
4.832 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.832 * [taylor]: Taking taylor expansion of 2 in n
4.832 * [backup-simplify]: Simplify 2 into 2
4.832 * [taylor]: Taking taylor expansion of (* n PI) in n
4.832 * [taylor]: Taking taylor expansion of n in n
4.832 * [backup-simplify]: Simplify 0 into 0
4.832 * [backup-simplify]: Simplify 1 into 1
4.832 * [taylor]: Taking taylor expansion of PI in n
4.832 * [backup-simplify]: Simplify PI into PI
4.832 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.832 * [taylor]: Taking taylor expansion of 2 in n
4.832 * [backup-simplify]: Simplify 2 into 2
4.832 * [taylor]: Taking taylor expansion of (* n PI) in n
4.832 * [taylor]: Taking taylor expansion of n in n
4.832 * [backup-simplify]: Simplify 0 into 0
4.832 * [backup-simplify]: Simplify 1 into 1
4.832 * [taylor]: Taking taylor expansion of PI in n
4.832 * [backup-simplify]: Simplify PI into PI
4.833 * [backup-simplify]: Simplify (* 0 PI) into 0
4.833 * [backup-simplify]: Simplify (* 2 0) into 0
4.833 * [backup-simplify]: Simplify 0 into 0
4.834 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.835 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.835 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
4.836 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
4.836 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
4.838 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
4.838 * [backup-simplify]: Simplify 0 into 0
4.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
4.839 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
4.839 * [backup-simplify]: Simplify 0 into 0
4.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
4.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
4.841 * [backup-simplify]: Simplify 0 into 0
4.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
4.843 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
4.843 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
4.846 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
4.846 * [backup-simplify]: Simplify 0 into 0
4.846 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
4.846 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
4.846 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
4.846 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.846 * [taylor]: Taking taylor expansion of 2 in n
4.846 * [backup-simplify]: Simplify 2 into 2
4.846 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.846 * [taylor]: Taking taylor expansion of PI in n
4.846 * [backup-simplify]: Simplify PI into PI
4.846 * [taylor]: Taking taylor expansion of n in n
4.846 * [backup-simplify]: Simplify 0 into 0
4.846 * [backup-simplify]: Simplify 1 into 1
4.847 * [backup-simplify]: Simplify (/ PI 1) into PI
4.847 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.847 * [taylor]: Taking taylor expansion of 2 in n
4.847 * [backup-simplify]: Simplify 2 into 2
4.847 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.847 * [taylor]: Taking taylor expansion of PI in n
4.847 * [backup-simplify]: Simplify PI into PI
4.847 * [taylor]: Taking taylor expansion of n in n
4.847 * [backup-simplify]: Simplify 0 into 0
4.847 * [backup-simplify]: Simplify 1 into 1
4.847 * [backup-simplify]: Simplify (/ PI 1) into PI
4.848 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.848 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.849 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.849 * [backup-simplify]: Simplify 0 into 0
4.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.850 * [backup-simplify]: Simplify 0 into 0
4.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.852 * [backup-simplify]: Simplify 0 into 0
4.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
4.854 * [backup-simplify]: Simplify 0 into 0
4.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.856 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
4.856 * [backup-simplify]: Simplify 0 into 0
4.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.859 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
4.859 * [backup-simplify]: Simplify 0 into 0
4.860 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
4.861 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
4.861 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
4.861 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.861 * [taylor]: Taking taylor expansion of -2 in n
4.861 * [backup-simplify]: Simplify -2 into -2
4.861 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.861 * [taylor]: Taking taylor expansion of PI in n
4.861 * [backup-simplify]: Simplify PI into PI
4.861 * [taylor]: Taking taylor expansion of n in n
4.861 * [backup-simplify]: Simplify 0 into 0
4.861 * [backup-simplify]: Simplify 1 into 1
4.862 * [backup-simplify]: Simplify (/ PI 1) into PI
4.862 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.862 * [taylor]: Taking taylor expansion of -2 in n
4.862 * [backup-simplify]: Simplify -2 into -2
4.862 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.862 * [taylor]: Taking taylor expansion of PI in n
4.862 * [backup-simplify]: Simplify PI into PI
4.862 * [taylor]: Taking taylor expansion of n in n
4.862 * [backup-simplify]: Simplify 0 into 0
4.862 * [backup-simplify]: Simplify 1 into 1
4.862 * [backup-simplify]: Simplify (/ PI 1) into PI
4.863 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.864 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.866 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
4.866 * [backup-simplify]: Simplify 0 into 0
4.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.868 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
4.868 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.870 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.870 * [backup-simplify]: Simplify 0 into 0
4.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.873 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
4.873 * [backup-simplify]: Simplify 0 into 0
4.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.875 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
4.876 * [backup-simplify]: Simplify 0 into 0
4.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.878 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
4.878 * [backup-simplify]: Simplify 0 into 0
4.879 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
4.879 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
4.879 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
4.879 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
4.879 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
4.879 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.879 * [taylor]: Taking taylor expansion of k in k
4.879 * [backup-simplify]: Simplify 0 into 0
4.879 * [backup-simplify]: Simplify 1 into 1
4.880 * [backup-simplify]: Simplify (/ 1 1) into 1
4.880 * [backup-simplify]: Simplify (sqrt 0) into 0
4.882 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.882 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
4.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.882 * [taylor]: Taking taylor expansion of k in k
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify 1 into 1
4.882 * [backup-simplify]: Simplify (/ 1 1) into 1
4.883 * [backup-simplify]: Simplify (sqrt 0) into 0
4.884 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.884 * [backup-simplify]: Simplify 0 into 0
4.884 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.888 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.888 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.895 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.895 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.896 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
4.896 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
4.896 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
4.896 * [taylor]: Taking taylor expansion of (sqrt k) in k
4.896 * [taylor]: Taking taylor expansion of k in k
4.896 * [backup-simplify]: Simplify 0 into 0
4.896 * [backup-simplify]: Simplify 1 into 1
4.896 * [backup-simplify]: Simplify (sqrt 0) into 0
4.898 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.898 * [taylor]: Taking taylor expansion of (sqrt k) in k
4.898 * [taylor]: Taking taylor expansion of k in k
4.898 * [backup-simplify]: Simplify 0 into 0
4.898 * [backup-simplify]: Simplify 1 into 1
4.898 * [backup-simplify]: Simplify (sqrt 0) into 0
4.900 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.900 * [backup-simplify]: Simplify 0 into 0
4.900 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.903 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.903 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.907 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.907 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
4.907 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
4.907 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
4.907 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
4.907 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
4.907 * [taylor]: Taking taylor expansion of (/ -1 k) in k
4.907 * [taylor]: Taking taylor expansion of -1 in k
4.907 * [backup-simplify]: Simplify -1 into -1
4.907 * [taylor]: Taking taylor expansion of k in k
4.907 * [backup-simplify]: Simplify 0 into 0
4.907 * [backup-simplify]: Simplify 1 into 1
4.908 * [backup-simplify]: Simplify (/ -1 1) into -1
4.908 * [backup-simplify]: Simplify (sqrt 0) into 0
4.909 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
4.909 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
4.909 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
4.909 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
4.909 * [taylor]: Taking taylor expansion of (/ -1 k) in k
4.909 * [taylor]: Taking taylor expansion of -1 in k
4.909 * [backup-simplify]: Simplify -1 into -1
4.909 * [taylor]: Taking taylor expansion of k in k
4.909 * [backup-simplify]: Simplify 0 into 0
4.910 * [backup-simplify]: Simplify 1 into 1
4.910 * [backup-simplify]: Simplify (/ -1 1) into -1
4.910 * [backup-simplify]: Simplify (sqrt 0) into 0
4.911 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
4.911 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
4.911 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.914 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.915 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
4.915 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.920 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
4.920 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.921 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
4.921 * * * * [progress]: [ 4 / 4 ] generating series at (2)
4.922 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
4.922 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
4.922 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
4.922 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
4.922 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
4.922 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
4.922 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
4.922 * [taylor]: Taking taylor expansion of 1/2 in n
4.922 * [backup-simplify]: Simplify 1/2 into 1/2
4.922 * [taylor]: Taking taylor expansion of (- 1 k) in n
4.922 * [taylor]: Taking taylor expansion of 1 in n
4.922 * [backup-simplify]: Simplify 1 into 1
4.922 * [taylor]: Taking taylor expansion of k in n
4.922 * [backup-simplify]: Simplify k into k
4.922 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.922 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.922 * [taylor]: Taking taylor expansion of 2 in n
4.922 * [backup-simplify]: Simplify 2 into 2
4.922 * [taylor]: Taking taylor expansion of (* n PI) in n
4.922 * [taylor]: Taking taylor expansion of n in n
4.922 * [backup-simplify]: Simplify 0 into 0
4.922 * [backup-simplify]: Simplify 1 into 1
4.922 * [taylor]: Taking taylor expansion of PI in n
4.922 * [backup-simplify]: Simplify PI into PI
4.922 * [backup-simplify]: Simplify (* 0 PI) into 0
4.922 * [backup-simplify]: Simplify (* 2 0) into 0
4.923 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.924 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.925 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.925 * [backup-simplify]: Simplify (- k) into (- k)
4.925 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
4.925 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
4.926 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.927 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
4.927 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
4.927 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
4.927 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.927 * [taylor]: Taking taylor expansion of k in n
4.927 * [backup-simplify]: Simplify k into k
4.928 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.928 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
4.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
4.928 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
4.928 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
4.928 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
4.928 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
4.928 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
4.928 * [taylor]: Taking taylor expansion of 1/2 in k
4.928 * [backup-simplify]: Simplify 1/2 into 1/2
4.928 * [taylor]: Taking taylor expansion of (- 1 k) in k
4.928 * [taylor]: Taking taylor expansion of 1 in k
4.928 * [backup-simplify]: Simplify 1 into 1
4.928 * [taylor]: Taking taylor expansion of k in k
4.928 * [backup-simplify]: Simplify 0 into 0
4.928 * [backup-simplify]: Simplify 1 into 1
4.928 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
4.928 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
4.928 * [taylor]: Taking taylor expansion of 2 in k
4.928 * [backup-simplify]: Simplify 2 into 2
4.928 * [taylor]: Taking taylor expansion of (* n PI) in k
4.928 * [taylor]: Taking taylor expansion of n in k
4.928 * [backup-simplify]: Simplify n into n
4.928 * [taylor]: Taking taylor expansion of PI in k
4.928 * [backup-simplify]: Simplify PI into PI
4.928 * [backup-simplify]: Simplify (* n PI) into (* n PI)
4.928 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
4.928 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
4.928 * [backup-simplify]: Simplify (- 0) into 0
4.929 * [backup-simplify]: Simplify (+ 1 0) into 1
4.929 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.929 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
4.929 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
4.929 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
4.929 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.929 * [taylor]: Taking taylor expansion of k in k
4.929 * [backup-simplify]: Simplify 0 into 0
4.929 * [backup-simplify]: Simplify 1 into 1
4.929 * [backup-simplify]: Simplify (/ 1 1) into 1
4.930 * [backup-simplify]: Simplify (sqrt 0) into 0
4.930 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.930 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
4.931 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
4.931 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
4.931 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
4.931 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
4.931 * [taylor]: Taking taylor expansion of 1/2 in k
4.931 * [backup-simplify]: Simplify 1/2 into 1/2
4.931 * [taylor]: Taking taylor expansion of (- 1 k) in k
4.931 * [taylor]: Taking taylor expansion of 1 in k
4.931 * [backup-simplify]: Simplify 1 into 1
4.931 * [taylor]: Taking taylor expansion of k in k
4.931 * [backup-simplify]: Simplify 0 into 0
4.931 * [backup-simplify]: Simplify 1 into 1
4.931 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
4.931 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
4.931 * [taylor]: Taking taylor expansion of 2 in k
4.931 * [backup-simplify]: Simplify 2 into 2
4.931 * [taylor]: Taking taylor expansion of (* n PI) in k
4.931 * [taylor]: Taking taylor expansion of n in k
4.931 * [backup-simplify]: Simplify n into n
4.931 * [taylor]: Taking taylor expansion of PI in k
4.931 * [backup-simplify]: Simplify PI into PI
4.931 * [backup-simplify]: Simplify (* n PI) into (* n PI)
4.931 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
4.931 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
4.931 * [backup-simplify]: Simplify (- 0) into 0
4.932 * [backup-simplify]: Simplify (+ 1 0) into 1
4.932 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.932 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
4.932 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
4.932 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
4.932 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.932 * [taylor]: Taking taylor expansion of k in k
4.932 * [backup-simplify]: Simplify 0 into 0
4.932 * [backup-simplify]: Simplify 1 into 1
4.932 * [backup-simplify]: Simplify (/ 1 1) into 1
4.933 * [backup-simplify]: Simplify (sqrt 0) into 0
4.933 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.934 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
4.934 * [taylor]: Taking taylor expansion of 0 in n
4.934 * [backup-simplify]: Simplify 0 into 0
4.934 * [backup-simplify]: Simplify 0 into 0
4.934 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
4.934 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
4.935 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
4.935 * [backup-simplify]: Simplify (- 1) into -1
4.935 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.936 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
4.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
4.936 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
4.937 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
4.937 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
4.937 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
4.937 * [taylor]: Taking taylor expansion of +nan.0 in n
4.937 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.937 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
4.937 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.937 * [taylor]: Taking taylor expansion of 2 in n
4.937 * [backup-simplify]: Simplify 2 into 2
4.937 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.937 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.937 * [taylor]: Taking taylor expansion of (* n PI) in n
4.937 * [taylor]: Taking taylor expansion of n in n
4.937 * [backup-simplify]: Simplify 0 into 0
4.937 * [backup-simplify]: Simplify 1 into 1
4.937 * [taylor]: Taking taylor expansion of PI in n
4.937 * [backup-simplify]: Simplify PI into PI
4.938 * [backup-simplify]: Simplify (* 0 PI) into 0
4.939 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.939 * [backup-simplify]: Simplify (sqrt 0) into 0
4.940 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.940 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
4.940 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.941 * [backup-simplify]: Simplify (- 0) into 0
4.941 * [backup-simplify]: Simplify 0 into 0
4.941 * [backup-simplify]: Simplify 0 into 0
4.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.945 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.946 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
4.947 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
4.948 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
4.949 * [backup-simplify]: Simplify (- 0) into 0
4.949 * [backup-simplify]: Simplify (+ 0 0) into 0
4.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
4.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
4.951 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
4.951 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
4.951 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
4.951 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
4.951 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
4.951 * [taylor]: Taking taylor expansion of +nan.0 in n
4.951 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.951 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
4.951 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
4.951 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.951 * [taylor]: Taking taylor expansion of 2 in n
4.951 * [backup-simplify]: Simplify 2 into 2
4.951 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.952 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.952 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.952 * [taylor]: Taking taylor expansion of 2 in n
4.952 * [backup-simplify]: Simplify 2 into 2
4.952 * [taylor]: Taking taylor expansion of (* n PI) in n
4.952 * [taylor]: Taking taylor expansion of n in n
4.952 * [backup-simplify]: Simplify 0 into 0
4.952 * [backup-simplify]: Simplify 1 into 1
4.952 * [taylor]: Taking taylor expansion of PI in n
4.952 * [backup-simplify]: Simplify PI into PI
4.952 * [backup-simplify]: Simplify (* 0 PI) into 0
4.953 * [backup-simplify]: Simplify (* 2 0) into 0
4.954 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.954 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.955 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.955 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.955 * [taylor]: Taking taylor expansion of (* n PI) in n
4.955 * [taylor]: Taking taylor expansion of n in n
4.955 * [backup-simplify]: Simplify 0 into 0
4.955 * [backup-simplify]: Simplify 1 into 1
4.955 * [taylor]: Taking taylor expansion of PI in n
4.955 * [backup-simplify]: Simplify PI into PI
4.955 * [backup-simplify]: Simplify (* 0 PI) into 0
4.956 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.957 * [backup-simplify]: Simplify (sqrt 0) into 0
4.957 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.957 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
4.958 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
4.958 * [taylor]: Taking taylor expansion of +nan.0 in n
4.958 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.958 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
4.958 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.958 * [taylor]: Taking taylor expansion of 2 in n
4.958 * [backup-simplify]: Simplify 2 into 2
4.958 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.958 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.958 * [taylor]: Taking taylor expansion of (* n PI) in n
4.958 * [taylor]: Taking taylor expansion of n in n
4.958 * [backup-simplify]: Simplify 0 into 0
4.958 * [backup-simplify]: Simplify 1 into 1
4.958 * [taylor]: Taking taylor expansion of PI in n
4.958 * [backup-simplify]: Simplify PI into PI
4.959 * [backup-simplify]: Simplify (* 0 PI) into 0
4.960 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.960 * [backup-simplify]: Simplify (sqrt 0) into 0
4.961 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.962 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.963 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
4.964 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
4.964 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.964 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
4.965 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.965 * [backup-simplify]: Simplify (- 0) into 0
4.965 * [backup-simplify]: Simplify (+ 0 0) into 0
4.965 * [backup-simplify]: Simplify (- 0) into 0
4.965 * [backup-simplify]: Simplify 0 into 0
4.967 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
4.971 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
4.973 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
4.975 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
4.975 * [backup-simplify]: Simplify 0 into 0
4.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.978 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
4.981 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
4.981 * [backup-simplify]: Simplify (- 0) into 0
4.981 * [backup-simplify]: Simplify (+ 0 0) into 0
4.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
4.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
4.986 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
4.987 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
4.987 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
4.987 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
4.987 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
4.987 * [taylor]: Taking taylor expansion of +nan.0 in n
4.987 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.987 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
4.987 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
4.987 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.987 * [taylor]: Taking taylor expansion of 2 in n
4.987 * [backup-simplify]: Simplify 2 into 2
4.988 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.989 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.989 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.989 * [taylor]: Taking taylor expansion of 2 in n
4.989 * [backup-simplify]: Simplify 2 into 2
4.989 * [taylor]: Taking taylor expansion of (* n PI) in n
4.989 * [taylor]: Taking taylor expansion of n in n
4.989 * [backup-simplify]: Simplify 0 into 0
4.989 * [backup-simplify]: Simplify 1 into 1
4.989 * [taylor]: Taking taylor expansion of PI in n
4.989 * [backup-simplify]: Simplify PI into PI
4.989 * [backup-simplify]: Simplify (* 0 PI) into 0
4.990 * [backup-simplify]: Simplify (* 2 0) into 0
4.991 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.993 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.997 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.997 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.997 * [taylor]: Taking taylor expansion of (* n PI) in n
4.997 * [taylor]: Taking taylor expansion of n in n
4.997 * [backup-simplify]: Simplify 0 into 0
4.997 * [backup-simplify]: Simplify 1 into 1
4.997 * [taylor]: Taking taylor expansion of PI in n
4.997 * [backup-simplify]: Simplify PI into PI
4.998 * [backup-simplify]: Simplify (* 0 PI) into 0
5.000 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.000 * [backup-simplify]: Simplify (sqrt 0) into 0
5.002 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.002 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
5.002 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
5.002 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
5.002 * [taylor]: Taking taylor expansion of +nan.0 in n
5.002 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.002 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
5.002 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.002 * [taylor]: Taking taylor expansion of 2 in n
5.002 * [backup-simplify]: Simplify 2 into 2
5.002 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.003 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.003 * [taylor]: Taking taylor expansion of (* n PI) in n
5.003 * [taylor]: Taking taylor expansion of n in n
5.003 * [backup-simplify]: Simplify 0 into 0
5.003 * [backup-simplify]: Simplify 1 into 1
5.003 * [taylor]: Taking taylor expansion of PI in n
5.003 * [backup-simplify]: Simplify PI into PI
5.004 * [backup-simplify]: Simplify (* 0 PI) into 0
5.005 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.006 * [backup-simplify]: Simplify (sqrt 0) into 0
5.007 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.007 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
5.007 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
5.007 * [taylor]: Taking taylor expansion of +nan.0 in n
5.007 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.007 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
5.007 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
5.007 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.007 * [taylor]: Taking taylor expansion of 2 in n
5.007 * [backup-simplify]: Simplify 2 into 2
5.008 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.009 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
5.009 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.009 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.009 * [taylor]: Taking taylor expansion of 2 in n
5.009 * [backup-simplify]: Simplify 2 into 2
5.009 * [taylor]: Taking taylor expansion of (* n PI) in n
5.009 * [taylor]: Taking taylor expansion of n in n
5.009 * [backup-simplify]: Simplify 0 into 0
5.009 * [backup-simplify]: Simplify 1 into 1
5.009 * [taylor]: Taking taylor expansion of PI in n
5.009 * [backup-simplify]: Simplify PI into PI
5.009 * [backup-simplify]: Simplify (* 0 PI) into 0
5.010 * [backup-simplify]: Simplify (* 2 0) into 0
5.012 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.013 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.015 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.016 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.016 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.016 * [taylor]: Taking taylor expansion of (* n PI) in n
5.016 * [taylor]: Taking taylor expansion of n in n
5.016 * [backup-simplify]: Simplify 0 into 0
5.016 * [backup-simplify]: Simplify 1 into 1
5.016 * [taylor]: Taking taylor expansion of PI in n
5.016 * [backup-simplify]: Simplify PI into PI
5.017 * [backup-simplify]: Simplify (* 0 PI) into 0
5.018 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.019 * [backup-simplify]: Simplify (sqrt 0) into 0
5.020 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.022 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.023 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
5.025 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
5.025 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.026 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
5.026 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.028 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.029 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.031 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
5.033 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
5.035 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
5.035 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.035 * [backup-simplify]: Simplify (- 0) into 0
5.036 * [backup-simplify]: Simplify (+ 0 0) into 0
5.036 * [backup-simplify]: Simplify (- 0) into 0
5.037 * [backup-simplify]: Simplify (+ 0 0) into 0
5.037 * [backup-simplify]: Simplify (- 0) into 0
5.037 * [backup-simplify]: Simplify 0 into 0
5.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.039 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.042 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.043 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
5.045 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
5.049 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
5.051 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
5.054 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
5.056 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
5.063 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
5.071 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
5.079 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
5.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.085 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
5.086 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
5.091 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
5.097 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
5.100 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
5.102 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
5.111 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
5.114 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
5.114 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
5.114 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
5.114 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
5.114 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.114 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.114 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
5.114 * [taylor]: Taking taylor expansion of 1/2 in n
5.114 * [backup-simplify]: Simplify 1/2 into 1/2
5.114 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.114 * [taylor]: Taking taylor expansion of 1 in n
5.114 * [backup-simplify]: Simplify 1 into 1
5.114 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.114 * [taylor]: Taking taylor expansion of k in n
5.114 * [backup-simplify]: Simplify k into k
5.114 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.115 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.115 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.115 * [taylor]: Taking taylor expansion of 2 in n
5.115 * [backup-simplify]: Simplify 2 into 2
5.115 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.115 * [taylor]: Taking taylor expansion of PI in n
5.115 * [backup-simplify]: Simplify PI into PI
5.115 * [taylor]: Taking taylor expansion of n in n
5.115 * [backup-simplify]: Simplify 0 into 0
5.115 * [backup-simplify]: Simplify 1 into 1
5.115 * [backup-simplify]: Simplify (/ PI 1) into PI
5.115 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.116 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.116 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.116 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.116 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
5.117 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.118 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.119 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.119 * [taylor]: Taking taylor expansion of (sqrt k) in n
5.119 * [taylor]: Taking taylor expansion of k in n
5.119 * [backup-simplify]: Simplify k into k
5.119 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
5.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
5.119 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
5.119 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
5.119 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.119 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.119 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
5.119 * [taylor]: Taking taylor expansion of 1/2 in k
5.119 * [backup-simplify]: Simplify 1/2 into 1/2
5.119 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.119 * [taylor]: Taking taylor expansion of 1 in k
5.119 * [backup-simplify]: Simplify 1 into 1
5.119 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.119 * [taylor]: Taking taylor expansion of k in k
5.119 * [backup-simplify]: Simplify 0 into 0
5.119 * [backup-simplify]: Simplify 1 into 1
5.119 * [backup-simplify]: Simplify (/ 1 1) into 1
5.119 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.119 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.119 * [taylor]: Taking taylor expansion of 2 in k
5.119 * [backup-simplify]: Simplify 2 into 2
5.119 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.119 * [taylor]: Taking taylor expansion of PI in k
5.119 * [backup-simplify]: Simplify PI into PI
5.119 * [taylor]: Taking taylor expansion of n in k
5.119 * [backup-simplify]: Simplify n into n
5.119 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.120 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.120 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.120 * [backup-simplify]: Simplify (- 1) into -1
5.120 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.120 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
5.120 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.121 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
5.121 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.121 * [taylor]: Taking taylor expansion of k in k
5.121 * [backup-simplify]: Simplify 0 into 0
5.121 * [backup-simplify]: Simplify 1 into 1
5.121 * [backup-simplify]: Simplify (sqrt 0) into 0
5.123 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.123 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
5.123 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
5.123 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.123 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.123 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
5.123 * [taylor]: Taking taylor expansion of 1/2 in k
5.123 * [backup-simplify]: Simplify 1/2 into 1/2
5.123 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.123 * [taylor]: Taking taylor expansion of 1 in k
5.123 * [backup-simplify]: Simplify 1 into 1
5.123 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.123 * [taylor]: Taking taylor expansion of k in k
5.123 * [backup-simplify]: Simplify 0 into 0
5.123 * [backup-simplify]: Simplify 1 into 1
5.124 * [backup-simplify]: Simplify (/ 1 1) into 1
5.124 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.124 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.124 * [taylor]: Taking taylor expansion of 2 in k
5.124 * [backup-simplify]: Simplify 2 into 2
5.124 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.124 * [taylor]: Taking taylor expansion of PI in k
5.124 * [backup-simplify]: Simplify PI into PI
5.124 * [taylor]: Taking taylor expansion of n in k
5.124 * [backup-simplify]: Simplify n into n
5.124 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.124 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.124 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.125 * [backup-simplify]: Simplify (- 1) into -1
5.125 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.126 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
5.126 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.126 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
5.126 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.126 * [taylor]: Taking taylor expansion of k in k
5.126 * [backup-simplify]: Simplify 0 into 0
5.126 * [backup-simplify]: Simplify 1 into 1
5.126 * [backup-simplify]: Simplify (sqrt 0) into 0
5.128 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.128 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
5.128 * [taylor]: Taking taylor expansion of 0 in n
5.128 * [backup-simplify]: Simplify 0 into 0
5.128 * [backup-simplify]: Simplify 0 into 0
5.129 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
5.129 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
5.129 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
5.129 * [taylor]: Taking taylor expansion of +nan.0 in n
5.129 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.129 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
5.129 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
5.129 * [taylor]: Taking taylor expansion of 1/2 in n
5.129 * [backup-simplify]: Simplify 1/2 into 1/2
5.129 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
5.129 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.129 * [taylor]: Taking taylor expansion of 1 in n
5.129 * [backup-simplify]: Simplify 1 into 1
5.129 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.129 * [taylor]: Taking taylor expansion of k in n
5.129 * [backup-simplify]: Simplify k into k
5.129 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.129 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.129 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.129 * [taylor]: Taking taylor expansion of 2 in n
5.129 * [backup-simplify]: Simplify 2 into 2
5.129 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.129 * [taylor]: Taking taylor expansion of PI in n
5.129 * [backup-simplify]: Simplify PI into PI
5.129 * [taylor]: Taking taylor expansion of n in n
5.129 * [backup-simplify]: Simplify 0 into 0
5.129 * [backup-simplify]: Simplify 1 into 1
5.130 * [backup-simplify]: Simplify (/ PI 1) into PI
5.130 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.132 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.132 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.132 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.133 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.134 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
5.136 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.137 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.138 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.139 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.140 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.141 * [backup-simplify]: Simplify 0 into 0
5.144 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.144 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
5.145 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
5.145 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
5.145 * [taylor]: Taking taylor expansion of +nan.0 in n
5.145 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.145 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
5.145 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
5.145 * [taylor]: Taking taylor expansion of 1/2 in n
5.145 * [backup-simplify]: Simplify 1/2 into 1/2
5.145 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
5.145 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.145 * [taylor]: Taking taylor expansion of 1 in n
5.145 * [backup-simplify]: Simplify 1 into 1
5.145 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.145 * [taylor]: Taking taylor expansion of k in n
5.145 * [backup-simplify]: Simplify k into k
5.145 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.145 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.145 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.145 * [taylor]: Taking taylor expansion of 2 in n
5.145 * [backup-simplify]: Simplify 2 into 2
5.145 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.145 * [taylor]: Taking taylor expansion of PI in n
5.145 * [backup-simplify]: Simplify PI into PI
5.145 * [taylor]: Taking taylor expansion of n in n
5.145 * [backup-simplify]: Simplify 0 into 0
5.145 * [backup-simplify]: Simplify 1 into 1
5.146 * [backup-simplify]: Simplify (/ PI 1) into PI
5.146 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.147 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.147 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.148 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.149 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.150 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
5.151 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.153 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.154 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.155 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.157 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.159 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.161 * [backup-simplify]: Simplify (- 0) into 0
5.161 * [backup-simplify]: Simplify (+ 0 0) into 0
5.163 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.164 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
5.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
5.168 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.170 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
5.170 * [backup-simplify]: Simplify (- 0) into 0
5.170 * [backup-simplify]: Simplify 0 into 0
5.170 * [backup-simplify]: Simplify 0 into 0
5.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.175 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
5.175 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
5.175 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
5.175 * [taylor]: Taking taylor expansion of +nan.0 in n
5.175 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.175 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
5.176 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
5.176 * [taylor]: Taking taylor expansion of 1/2 in n
5.176 * [backup-simplify]: Simplify 1/2 into 1/2
5.176 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
5.176 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.176 * [taylor]: Taking taylor expansion of 1 in n
5.176 * [backup-simplify]: Simplify 1 into 1
5.176 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.176 * [taylor]: Taking taylor expansion of k in n
5.176 * [backup-simplify]: Simplify k into k
5.176 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.176 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.176 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.176 * [taylor]: Taking taylor expansion of 2 in n
5.176 * [backup-simplify]: Simplify 2 into 2
5.176 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.176 * [taylor]: Taking taylor expansion of PI in n
5.176 * [backup-simplify]: Simplify PI into PI
5.176 * [taylor]: Taking taylor expansion of n in n
5.176 * [backup-simplify]: Simplify 0 into 0
5.176 * [backup-simplify]: Simplify 1 into 1
5.177 * [backup-simplify]: Simplify (/ PI 1) into PI
5.177 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.178 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.178 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.178 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.180 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.181 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
5.182 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.183 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.185 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.186 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.187 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.191 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
5.192 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
5.192 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
5.192 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
5.192 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.192 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.193 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.193 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.193 * [taylor]: Taking taylor expansion of 1/2 in n
5.193 * [backup-simplify]: Simplify 1/2 into 1/2
5.193 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.193 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.193 * [taylor]: Taking taylor expansion of k in n
5.193 * [backup-simplify]: Simplify k into k
5.193 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.193 * [taylor]: Taking taylor expansion of 1 in n
5.193 * [backup-simplify]: Simplify 1 into 1
5.193 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.193 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.193 * [taylor]: Taking taylor expansion of -2 in n
5.193 * [backup-simplify]: Simplify -2 into -2
5.193 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.193 * [taylor]: Taking taylor expansion of PI in n
5.193 * [backup-simplify]: Simplify PI into PI
5.193 * [taylor]: Taking taylor expansion of n in n
5.193 * [backup-simplify]: Simplify 0 into 0
5.193 * [backup-simplify]: Simplify 1 into 1
5.194 * [backup-simplify]: Simplify (/ PI 1) into PI
5.194 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.195 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.195 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.195 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.197 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.198 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.199 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.199 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
5.199 * [taylor]: Taking taylor expansion of (/ -1 k) in n
5.200 * [taylor]: Taking taylor expansion of -1 in n
5.200 * [backup-simplify]: Simplify -1 into -1
5.200 * [taylor]: Taking taylor expansion of k in n
5.200 * [backup-simplify]: Simplify k into k
5.200 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
5.200 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
5.200 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
5.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
5.201 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
5.201 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
5.201 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.201 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.201 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.202 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.202 * [taylor]: Taking taylor expansion of 1/2 in k
5.202 * [backup-simplify]: Simplify 1/2 into 1/2
5.202 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.202 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.202 * [taylor]: Taking taylor expansion of k in k
5.202 * [backup-simplify]: Simplify 0 into 0
5.202 * [backup-simplify]: Simplify 1 into 1
5.202 * [backup-simplify]: Simplify (/ 1 1) into 1
5.202 * [taylor]: Taking taylor expansion of 1 in k
5.202 * [backup-simplify]: Simplify 1 into 1
5.202 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.202 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.202 * [taylor]: Taking taylor expansion of -2 in k
5.202 * [backup-simplify]: Simplify -2 into -2
5.202 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.202 * [taylor]: Taking taylor expansion of PI in k
5.202 * [backup-simplify]: Simplify PI into PI
5.202 * [taylor]: Taking taylor expansion of n in k
5.202 * [backup-simplify]: Simplify n into n
5.202 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.203 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.203 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.203 * [backup-simplify]: Simplify (+ 1 0) into 1
5.203 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.204 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.204 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.204 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.204 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.204 * [taylor]: Taking taylor expansion of -1 in k
5.204 * [backup-simplify]: Simplify -1 into -1
5.204 * [taylor]: Taking taylor expansion of k in k
5.204 * [backup-simplify]: Simplify 0 into 0
5.204 * [backup-simplify]: Simplify 1 into 1
5.204 * [backup-simplify]: Simplify (/ -1 1) into -1
5.205 * [backup-simplify]: Simplify (sqrt 0) into 0
5.206 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.206 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
5.206 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
5.207 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.207 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.207 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.207 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.207 * [taylor]: Taking taylor expansion of 1/2 in k
5.207 * [backup-simplify]: Simplify 1/2 into 1/2
5.207 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.207 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.207 * [taylor]: Taking taylor expansion of k in k
5.207 * [backup-simplify]: Simplify 0 into 0
5.207 * [backup-simplify]: Simplify 1 into 1
5.207 * [backup-simplify]: Simplify (/ 1 1) into 1
5.207 * [taylor]: Taking taylor expansion of 1 in k
5.207 * [backup-simplify]: Simplify 1 into 1
5.207 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.207 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.207 * [taylor]: Taking taylor expansion of -2 in k
5.207 * [backup-simplify]: Simplify -2 into -2
5.207 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.207 * [taylor]: Taking taylor expansion of PI in k
5.207 * [backup-simplify]: Simplify PI into PI
5.207 * [taylor]: Taking taylor expansion of n in k
5.207 * [backup-simplify]: Simplify n into n
5.208 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.208 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.208 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.208 * [backup-simplify]: Simplify (+ 1 0) into 1
5.209 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.209 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.209 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.209 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.209 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.209 * [taylor]: Taking taylor expansion of -1 in k
5.209 * [backup-simplify]: Simplify -1 into -1
5.209 * [taylor]: Taking taylor expansion of k in k
5.209 * [backup-simplify]: Simplify 0 into 0
5.209 * [backup-simplify]: Simplify 1 into 1
5.210 * [backup-simplify]: Simplify (/ -1 1) into -1
5.210 * [backup-simplify]: Simplify (sqrt 0) into 0
5.211 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.211 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
5.212 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.212 * [taylor]: Taking taylor expansion of +nan.0 in n
5.212 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.212 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.212 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.212 * [taylor]: Taking taylor expansion of 1/2 in n
5.212 * [backup-simplify]: Simplify 1/2 into 1/2
5.212 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.212 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.212 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.212 * [taylor]: Taking taylor expansion of -2 in n
5.212 * [backup-simplify]: Simplify -2 into -2
5.212 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.212 * [taylor]: Taking taylor expansion of PI in n
5.212 * [backup-simplify]: Simplify PI into PI
5.212 * [taylor]: Taking taylor expansion of n in n
5.212 * [backup-simplify]: Simplify 0 into 0
5.212 * [backup-simplify]: Simplify 1 into 1
5.213 * [backup-simplify]: Simplify (/ PI 1) into PI
5.213 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.214 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.214 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.214 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.214 * [taylor]: Taking taylor expansion of k in n
5.214 * [backup-simplify]: Simplify k into k
5.214 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.214 * [taylor]: Taking taylor expansion of 1 in n
5.214 * [backup-simplify]: Simplify 1 into 1
5.215 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.215 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.216 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.216 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.217 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.218 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.219 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.221 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.222 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
5.222 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
5.222 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.222 * [taylor]: Taking taylor expansion of +nan.0 in n
5.222 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.222 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.222 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.222 * [taylor]: Taking taylor expansion of 1/2 in n
5.222 * [backup-simplify]: Simplify 1/2 into 1/2
5.222 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.222 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.222 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.222 * [taylor]: Taking taylor expansion of -2 in n
5.222 * [backup-simplify]: Simplify -2 into -2
5.222 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.222 * [taylor]: Taking taylor expansion of PI in n
5.222 * [backup-simplify]: Simplify PI into PI
5.222 * [taylor]: Taking taylor expansion of n in n
5.222 * [backup-simplify]: Simplify 0 into 0
5.222 * [backup-simplify]: Simplify 1 into 1
5.222 * [backup-simplify]: Simplify (/ PI 1) into PI
5.223 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.223 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.223 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.223 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.223 * [taylor]: Taking taylor expansion of k in n
5.223 * [backup-simplify]: Simplify k into k
5.223 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.223 * [taylor]: Taking taylor expansion of 1 in n
5.224 * [backup-simplify]: Simplify 1 into 1
5.224 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.224 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.225 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.226 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.227 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.227 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.228 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.229 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.230 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.230 * [backup-simplify]: Simplify (+ 0 0) into 0
5.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.231 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
5.233 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
5.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
5.235 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.236 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
5.236 * [backup-simplify]: Simplify 0 into 0
5.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.244 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
5.244 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
5.244 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.244 * [taylor]: Taking taylor expansion of +nan.0 in n
5.244 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.244 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.244 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.244 * [taylor]: Taking taylor expansion of 1/2 in n
5.244 * [backup-simplify]: Simplify 1/2 into 1/2
5.244 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.244 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.244 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.244 * [taylor]: Taking taylor expansion of -2 in n
5.244 * [backup-simplify]: Simplify -2 into -2
5.244 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.244 * [taylor]: Taking taylor expansion of PI in n
5.244 * [backup-simplify]: Simplify PI into PI
5.244 * [taylor]: Taking taylor expansion of n in n
5.244 * [backup-simplify]: Simplify 0 into 0
5.244 * [backup-simplify]: Simplify 1 into 1
5.245 * [backup-simplify]: Simplify (/ PI 1) into PI
5.245 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.246 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.246 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.247 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.247 * [taylor]: Taking taylor expansion of k in n
5.247 * [backup-simplify]: Simplify k into k
5.247 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.247 * [taylor]: Taking taylor expansion of 1 in n
5.247 * [backup-simplify]: Simplify 1 into 1
5.248 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.248 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.249 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.251 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.252 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.253 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.254 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.256 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.260 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
5.260 * * * [progress]: simplifying candidates
5.260 * * * * [progress]: [ 1 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.260 * * * * [progress]: [ 2 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.261 * * * * [progress]: [ 3 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.261 * * * * [progress]: [ 4 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.261 * * * * [progress]: [ 5 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.261 * * * * [progress]: [ 6 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.261 * * * * [progress]: [ 7 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.261 * * * * [progress]: [ 8 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
5.261 * * * * [progress]: [ 9 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
5.261 * * * * [progress]: [ 10 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
5.261 * * * * [progress]: [ 11 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))>
5.261 * * * * [progress]: [ 12 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))>
5.261 * * * * [progress]: [ 13 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))>
5.261 * * * * [progress]: [ 14 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))>
5.261 * * * * [progress]: [ 15 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))>
5.261 * * * * [progress]: [ 16 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))>
5.261 * * * * [progress]: [ 17 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
5.262 * * * * [progress]: [ 18 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
5.262 * * * * [progress]: [ 19 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
5.262 * * * * [progress]: [ 20 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))>
5.262 * * * * [progress]: [ 21 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))>
5.262 * * * * [progress]: [ 22 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))>
5.262 * * * * [progress]: [ 23 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))>
5.262 * * * * [progress]: [ 24 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))>
5.262 * * * * [progress]: [ 25 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))>
5.262 * * * * [progress]: [ 26 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
5.262 * * * * [progress]: [ 27 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
5.262 * * * * [progress]: [ 28 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
5.262 * * * * [progress]: [ 29 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.262 * * * * [progress]: [ 30 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
5.262 * * * * [progress]: [ 31 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
5.263 * * * * [progress]: [ 32 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
5.263 * * * * [progress]: [ 33 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.263 * * * * [progress]: [ 34 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.263 * * * * [progress]: [ 35 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.263 * * * * [progress]: [ 36 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.263 * * * * [progress]: [ 37 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.263 * * * * [progress]: [ 38 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.263 * * * * [progress]: [ 39 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.263 * * * * [progress]: [ 40 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.263 * * * * [progress]: [ 41 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 42 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 43 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 44 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 45 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 46 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 47 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 48 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 49 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 50 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 51 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 52 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 53 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 54 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 55 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 56 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2))))>
5.264 * * * * [progress]: [ 57 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 58 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 59 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 60 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 61 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- 1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 62 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) (- 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 63 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- (/ 1 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 64 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 65 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 66 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- 0 (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 67 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log 1) (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 68 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 69 / 188 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 70 / 188 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 71 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 72 / 188 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 73 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.265 * * * * [progress]: [ 74 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1) (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 75 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 76 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 77 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 78 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 79 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 80 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 81 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 82 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 83 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 84 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 85 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 86 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 87 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 88 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.266 * * * * [progress]: [ 89 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.267 * * * * [progress]: [ 90 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt 1)) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.267 * * * * [progress]: [ 91 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.267 * * * * [progress]: [ 92 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.267 * * * * [progress]: [ 93 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.267 * * * * [progress]: [ 94 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.267 * * * * [progress]: [ 95 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.267 * * * * [progress]: [ 96 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.267 * * * * [progress]: [ 97 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.267 * * * * [progress]: [ 98 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.267 * * * * [progress]: [ 99 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
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5.267 * * * * [progress]: [ 101 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.267 * * * * [progress]: [ 102 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.267 * * * * [progress]: [ 103 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.267 * * * * [progress]: [ 104 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.267 * * * * [progress]: [ 105 / 188 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.268 * * * * [progress]: [ 106 / 188 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
5.268 * * * * [progress]: [ 107 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.268 * * * * [progress]: [ 108 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.268 * * * * [progress]: [ 109 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.268 * * * * [progress]: [ 110 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.268 * * * * [progress]: [ 111 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.268 * * * * [progress]: [ 112 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.268 * * * * [progress]: [ 113 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.268 * * * * [progress]: [ 114 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.268 * * * * [progress]: [ 115 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.268 * * * * [progress]: [ 116 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.268 * * * * [progress]: [ 117 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.268 * * * * [progress]: [ 118 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.268 * * * * [progress]: [ 119 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.268 * * * * [progress]: [ 120 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.269 * * * * [progress]: [ 121 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.269 * * * * [progress]: [ 122 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.269 * * * * [progress]: [ 123 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.269 * * * * [progress]: [ 124 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.269 * * * * [progress]: [ 125 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.269 * * * * [progress]: [ 126 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.269 * * * * [progress]: [ 127 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.269 * * * * [progress]: [ 128 / 188 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.269 * * * * [progress]: [ 129 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.269 * * * * [progress]: [ 130 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.269 * * * * [progress]: [ 131 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.269 * * * * [progress]: [ 132 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.269 * * * * [progress]: [ 133 / 188 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.269 * * * * [progress]: [ 134 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ 1 2))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))>
5.269 * * * * [progress]: [ 135 / 188 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.269 * * * * [progress]: [ 136 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.270 * * * * [progress]: [ 137 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.270 * * * * [progress]: [ 138 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.270 * * * * [progress]: [ 139 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.270 * * * * [progress]: [ 140 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.270 * * * * [progress]: [ 141 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.270 * * * * [progress]: [ 142 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.270 * * * * [progress]: [ 143 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.270 * * * * [progress]: [ 144 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.270 * * * * [progress]: [ 145 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.270 * * * * [progress]: [ 146 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
5.270 * * * * [progress]: [ 147 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.270 * * * * [progress]: [ 148 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.270 * * * * [progress]: [ 149 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.270 * * * * [progress]: [ 150 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))>
5.271 * * * * [progress]: [ 151 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.271 * * * * [progress]: [ 152 / 188 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.271 * * * * [progress]: [ 153 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.271 * * * * [progress]: [ 154 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.271 * * * * [progress]: [ 155 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.271 * * * * [progress]: [ 156 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.271 * * * * [progress]: [ 157 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.271 * * * * [progress]: [ 158 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.271 * * * * [progress]: [ 159 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.271 * * * * [progress]: [ 160 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.271 * * * * [progress]: [ 161 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.271 * * * * [progress]: [ 162 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt 1)) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.271 * * * * [progress]: [ 163 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.271 * * * * [progress]: [ 164 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.272 * * * * [progress]: [ 165 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.272 * * * * [progress]: [ 166 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.272 * * * * [progress]: [ 167 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.272 * * * * [progress]: [ 168 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.272 * * * * [progress]: [ 169 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.272 * * * * [progress]: [ 170 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.272 * * * * [progress]: [ 171 / 188 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.272 * * * * [progress]: [ 172 / 188 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.272 * * * * [progress]: [ 173 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
5.272 * * * * [progress]: [ 174 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))>
5.272 * * * * [progress]: [ 175 / 188 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.272 * * * * [progress]: [ 176 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
5.272 * * * * [progress]: [ 177 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))))>
5.273 * * * * [progress]: [ 178 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
5.273 * * * * [progress]: [ 179 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
5.273 * * * * [progress]: [ 180 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.273 * * * * [progress]: [ 181 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.273 * * * * [progress]: [ 182 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.273 * * * * [progress]: [ 183 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.273 * * * * [progress]: [ 184 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.273 * * * * [progress]: [ 185 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.273 * * * * [progress]: [ 186 / 188 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
5.273 * * * * [progress]: [ 187 / 188 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
5.273 * * * * [progress]: [ 188 / 188 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
5.276 * [simplify]: Simplifying:
  (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))
  (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* (* 2 PI) n) (/ 1 2))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) 1)
  (pow (* (* 2 PI) n) (- 1 k))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (+ (+ (log 2) (log PI)) (log n))
  (+ (log (* 2 PI)) (log n))
  (log (* (* 2 PI) n))
  (exp (* (* 2 PI) n))
  (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* 2 PI) (* (cbrt n) (cbrt n)))
  (* (* 2 PI) (sqrt n))
  (* (* 2 PI) 1)
  (* PI n)
  (real->posit16 (* (* 2 PI) n))
  (- 1/2)
  (- 1)
  (- (/ 1 2))
  (- (log (sqrt k)))
  (- 0 (log (sqrt k)))
  (- (log 1) (log (sqrt k)))
  (log (/ 1 (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (- 1)
  (- (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1) (cbrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1) (sqrt (cbrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))
  (/ (cbrt 1) (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (sqrt k))
  (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1) (cbrt (sqrt k)))
  (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1) (sqrt (cbrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1)
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ (sqrt k) (cbrt 1))
  (/ (sqrt k) (sqrt 1))
  (/ (sqrt k) 1)
  (real->posit16 (/ 1 (sqrt k)))
  (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
  (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* 1 (pow (* (* 2 PI) n) (/ 1 2)))
  (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt k)) 1)
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2)))
  (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
5.282 * * [simplify]: iteration 0: 345 enodes
5.456 * * [simplify]: iteration 1: 930 enodes
5.705 * * [simplify]: iteration 2: 2001 enodes
6.124 * * [simplify]: iteration complete: 2001 enodes
6.124 * * [simplify]: Extracting #0: cost 96 inf + 0
6.126 * * [simplify]: Extracting #1: cost 330 inf + 3
6.130 * * [simplify]: Extracting #2: cost 579 inf + 6154
6.143 * * [simplify]: Extracting #3: cost 533 inf + 43676
6.180 * * [simplify]: Extracting #4: cost 344 inf + 117720
6.224 * * [simplify]: Extracting #5: cost 155 inf + 185076
6.259 * * [simplify]: Extracting #6: cost 63 inf + 220369
6.309 * * [simplify]: Extracting #7: cost 15 inf + 248942
6.359 * * [simplify]: Extracting #8: cost 0 inf + 258292
6.440 * * [simplify]: Extracting #9: cost 0 inf + 256272
6.486 * [simplify]: Simplified to:
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (sqrt (* n (* 2 PI)))
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2)))
  (pow (* n (* 2 PI)) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* n (* 2 PI)) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* n (* 2 PI)) (sqrt (- 1 k)))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (* n (* 2 PI))
  (pow (* n (* 2 PI)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (+ (sqrt k) 1))
  (pow (* n (* 2 PI)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (+ (sqrt k) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (pow (* n (* 2 PI)) (- 1 k))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 3)
  (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (pow (* n (* 2 PI)) (/ (- 1 k) 4))
  (pow (* n (* 2 PI)) (/ (- 1 k) 4))
  (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (log (* n (* 2 PI)))
  (log (* n (* 2 PI)))
  (log (* n (* 2 PI)))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* (* (* PI PI) PI) (* 2 4)) (* n n)) n)
  (* (* (* 2 PI) (* (* 2 PI) (* 2 PI))) (* (* n n) n))
  (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))
  (cbrt (* n (* 2 PI)))
  (* (* n (* 2 PI)) (* (* n (* 2 PI)) (* n (* 2 PI))))
  (sqrt (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (* (* (cbrt n) (cbrt n)) (* 2 PI))
  (* (* 2 PI) (sqrt n))
  (* 2 PI)
  (* PI n)
  (real->posit16 (* n (* 2 PI)))
  -1/2
  -1
  -1/2
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ 1 (* k (sqrt k)))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (* (/ (/ 1 (sqrt k)) (sqrt k)) (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  -1
  (- (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (sqrt k)
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt (sqrt k)))
  1
  (sqrt k)
  (sqrt k)
  (sqrt k)
  (real->posit16 (/ 1 (sqrt k)))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 3) (* k (sqrt k)))
  (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 3) (* (/ (/ 1 (sqrt k)) (sqrt k)) (/ 1 (sqrt k))))
  (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
  (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (* n (* 2 PI)))
  (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))
  (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))
  (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))
  (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k))))
  (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k))))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k))
  (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ 1 (sqrt k))))
  (* (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (sqrt (* n (* 2 PI))) (sqrt k))
  (pow (* n (* 2 PI)) (/ (- 1 k) 2))
  (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (- (+ (+ (* (* (log (* 2 PI)) (* (* (log n) (* k k)) (exp (* (log (* n (* 2 PI))) 1/2)))) 1/4) (* (* (exp (* (log (* n (* 2 PI))) 1/2)) (* (* (log n) (log n)) (* k k))) 1/8)) (+ (exp (* (log (* n (* 2 PI))) 1/2)) (* 1/8 (* (* (* (exp (* (log (* n (* 2 PI))) 1/2)) (* k k)) (log (* 2 PI))) (log (* 2 PI)))))) (* 1/2 (* k (+ (* (exp (* (log (* n (* 2 PI))) 1/2)) (log n)) (* (log (* 2 PI)) (exp (* (log (* n (* 2 PI))) 1/2)))))))
  (exp (* (* 1/2 (- 1 k)) (log (* n (* 2 PI)))))
  (exp (* (* 1/2 (- (log (* PI -2)) (log (/ -1 n)))) (- 1 k)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (- (+ (- (* (* k k) +nan.0) +nan.0) (* k +nan.0)))
  (+ (/ (- +nan.0) (* k k)) (- (/ +nan.0 k) (/ +nan.0 (* (* k k) k))))
  (- (- (/ +nan.0 (* k k)) (- (/ +nan.0 k) +nan.0)))
  (+ (* (* +nan.0 (sqrt 2)) (- (* (* PI n) k))) (+ (- (* (* +nan.0 (sqrt 2)) (* PI n)) (* +nan.0 (* (* (* (* PI n) k) (sqrt 2)) (log (* 2 PI))))) (* (* +nan.0 (sqrt 2)) (- (* (* PI n) (* k (log n))) (* (* PI n) (* PI n))))))
  (+ (* (- +nan.0) (/ (exp (* (* 1/2 (- 1 k)) (log (* n (* 2 PI))))) k)) (- (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (log (* n (* 2 PI)))))) (* k k)) (* (/ +nan.0 (* k k)) (/ (exp (* (* 1/2 (- 1 k)) (log (* n (* 2 PI))))) k))))
  (- (- (* +nan.0 (/ (exp (* (* 1/2 (- (log (* PI -2)) (log (/ -1 n)))) (- 1 k))) k)) (* +nan.0 (+ (- (exp (* (* 1/2 (- (log (* PI -2)) (log (/ -1 n)))) (- 1 k)))) (/ (exp (* (* 1/2 (- (log (* PI -2)) (log (/ -1 n)))) (- 1 k))) (* k k))))))
6.509 * * * [progress]: adding candidates to table
7.278 * * [progress]: iteration 3 / 4
7.279 * * * [progress]: picking best candidate
7.331 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
7.331 * * * [progress]: localizing error
7.364 * * * [progress]: generating rewritten candidates
7.364 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
7.381 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
7.411 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
7.421 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
7.445 * * * [progress]: generating series expansions
7.445 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
7.445 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
7.445 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
7.445 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
7.445 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
7.445 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
7.445 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.445 * [taylor]: Taking taylor expansion of 1/2 in k
7.445 * [backup-simplify]: Simplify 1/2 into 1/2
7.445 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.445 * [taylor]: Taking taylor expansion of 1/2 in k
7.445 * [backup-simplify]: Simplify 1/2 into 1/2
7.445 * [taylor]: Taking taylor expansion of k in k
7.445 * [backup-simplify]: Simplify 0 into 0
7.445 * [backup-simplify]: Simplify 1 into 1
7.445 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
7.445 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
7.445 * [taylor]: Taking taylor expansion of 2 in k
7.445 * [backup-simplify]: Simplify 2 into 2
7.445 * [taylor]: Taking taylor expansion of (* n PI) in k
7.445 * [taylor]: Taking taylor expansion of n in k
7.445 * [backup-simplify]: Simplify n into n
7.445 * [taylor]: Taking taylor expansion of PI in k
7.445 * [backup-simplify]: Simplify PI into PI
7.445 * [backup-simplify]: Simplify (* n PI) into (* n PI)
7.445 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
7.445 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
7.446 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.446 * [backup-simplify]: Simplify (- 0) into 0
7.446 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.447 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
7.447 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
7.447 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
7.447 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
7.447 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
7.447 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
7.447 * [taylor]: Taking taylor expansion of 1/2 in n
7.447 * [backup-simplify]: Simplify 1/2 into 1/2
7.447 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
7.447 * [taylor]: Taking taylor expansion of 1/2 in n
7.447 * [backup-simplify]: Simplify 1/2 into 1/2
7.447 * [taylor]: Taking taylor expansion of k in n
7.447 * [backup-simplify]: Simplify k into k
7.447 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.447 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.447 * [taylor]: Taking taylor expansion of 2 in n
7.447 * [backup-simplify]: Simplify 2 into 2
7.447 * [taylor]: Taking taylor expansion of (* n PI) in n
7.447 * [taylor]: Taking taylor expansion of n in n
7.447 * [backup-simplify]: Simplify 0 into 0
7.447 * [backup-simplify]: Simplify 1 into 1
7.447 * [taylor]: Taking taylor expansion of PI in n
7.447 * [backup-simplify]: Simplify PI into PI
7.447 * [backup-simplify]: Simplify (* 0 PI) into 0
7.448 * [backup-simplify]: Simplify (* 2 0) into 0
7.449 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.450 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.450 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.450 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
7.450 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
7.450 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
7.451 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.452 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
7.453 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
7.453 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
7.453 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
7.453 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
7.453 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
7.453 * [taylor]: Taking taylor expansion of 1/2 in n
7.453 * [backup-simplify]: Simplify 1/2 into 1/2
7.453 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
7.453 * [taylor]: Taking taylor expansion of 1/2 in n
7.453 * [backup-simplify]: Simplify 1/2 into 1/2
7.453 * [taylor]: Taking taylor expansion of k in n
7.453 * [backup-simplify]: Simplify k into k
7.453 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.453 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.453 * [taylor]: Taking taylor expansion of 2 in n
7.453 * [backup-simplify]: Simplify 2 into 2
7.453 * [taylor]: Taking taylor expansion of (* n PI) in n
7.453 * [taylor]: Taking taylor expansion of n in n
7.453 * [backup-simplify]: Simplify 0 into 0
7.453 * [backup-simplify]: Simplify 1 into 1
7.453 * [taylor]: Taking taylor expansion of PI in n
7.453 * [backup-simplify]: Simplify PI into PI
7.454 * [backup-simplify]: Simplify (* 0 PI) into 0
7.454 * [backup-simplify]: Simplify (* 2 0) into 0
7.456 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.458 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.459 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.459 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
7.459 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
7.459 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
7.460 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.462 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
7.463 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
7.463 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
7.463 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
7.463 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.463 * [taylor]: Taking taylor expansion of 1/2 in k
7.463 * [backup-simplify]: Simplify 1/2 into 1/2
7.463 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.463 * [taylor]: Taking taylor expansion of 1/2 in k
7.463 * [backup-simplify]: Simplify 1/2 into 1/2
7.463 * [taylor]: Taking taylor expansion of k in k
7.463 * [backup-simplify]: Simplify 0 into 0
7.463 * [backup-simplify]: Simplify 1 into 1
7.463 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
7.463 * [taylor]: Taking taylor expansion of (log n) in k
7.463 * [taylor]: Taking taylor expansion of n in k
7.463 * [backup-simplify]: Simplify n into n
7.463 * [backup-simplify]: Simplify (log n) into (log n)
7.463 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
7.463 * [taylor]: Taking taylor expansion of (* 2 PI) in k
7.463 * [taylor]: Taking taylor expansion of 2 in k
7.463 * [backup-simplify]: Simplify 2 into 2
7.463 * [taylor]: Taking taylor expansion of PI in k
7.463 * [backup-simplify]: Simplify PI into PI
7.464 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.465 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.465 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.466 * [backup-simplify]: Simplify (- 0) into 0
7.466 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.467 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.474 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
7.474 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
7.475 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
7.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.476 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
7.477 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
7.478 * [backup-simplify]: Simplify (- 0) into 0
7.478 * [backup-simplify]: Simplify (+ 0 0) into 0
7.479 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.480 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
7.481 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.481 * [taylor]: Taking taylor expansion of 0 in k
7.481 * [backup-simplify]: Simplify 0 into 0
7.481 * [backup-simplify]: Simplify 0 into 0
7.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
7.482 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.483 * [backup-simplify]: Simplify (+ 0 0) into 0
7.484 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.484 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.484 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
7.487 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
7.489 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
7.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
7.490 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
7.492 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
7.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
7.493 * [backup-simplify]: Simplify (- 0) into 0
7.493 * [backup-simplify]: Simplify (+ 0 0) into 0
7.494 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.495 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
7.497 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.497 * [taylor]: Taking taylor expansion of 0 in k
7.497 * [backup-simplify]: Simplify 0 into 0
7.497 * [backup-simplify]: Simplify 0 into 0
7.497 * [backup-simplify]: Simplify 0 into 0
7.498 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
7.498 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.500 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
7.500 * [backup-simplify]: Simplify (+ 0 0) into 0
7.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.501 * [backup-simplify]: Simplify (- 0) into 0
7.501 * [backup-simplify]: Simplify (+ 0 0) into 0
7.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
7.506 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
7.511 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
7.521 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
7.521 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
7.521 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
7.521 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
7.521 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
7.521 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
7.521 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
7.521 * [taylor]: Taking taylor expansion of 1/2 in k
7.521 * [backup-simplify]: Simplify 1/2 into 1/2
7.521 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.521 * [taylor]: Taking taylor expansion of 1/2 in k
7.521 * [backup-simplify]: Simplify 1/2 into 1/2
7.521 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.521 * [taylor]: Taking taylor expansion of k in k
7.521 * [backup-simplify]: Simplify 0 into 0
7.521 * [backup-simplify]: Simplify 1 into 1
7.522 * [backup-simplify]: Simplify (/ 1 1) into 1
7.522 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
7.522 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
7.522 * [taylor]: Taking taylor expansion of 2 in k
7.522 * [backup-simplify]: Simplify 2 into 2
7.522 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.522 * [taylor]: Taking taylor expansion of PI in k
7.522 * [backup-simplify]: Simplify PI into PI
7.522 * [taylor]: Taking taylor expansion of n in k
7.522 * [backup-simplify]: Simplify n into n
7.522 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.522 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
7.522 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
7.523 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.523 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.524 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.524 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
7.524 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
7.524 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
7.524 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
7.524 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
7.524 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
7.524 * [taylor]: Taking taylor expansion of 1/2 in n
7.524 * [backup-simplify]: Simplify 1/2 into 1/2
7.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.524 * [taylor]: Taking taylor expansion of 1/2 in n
7.524 * [backup-simplify]: Simplify 1/2 into 1/2
7.524 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.524 * [taylor]: Taking taylor expansion of k in n
7.524 * [backup-simplify]: Simplify k into k
7.524 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.524 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
7.524 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.524 * [taylor]: Taking taylor expansion of 2 in n
7.524 * [backup-simplify]: Simplify 2 into 2
7.524 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.524 * [taylor]: Taking taylor expansion of PI in n
7.524 * [backup-simplify]: Simplify PI into PI
7.524 * [taylor]: Taking taylor expansion of n in n
7.524 * [backup-simplify]: Simplify 0 into 0
7.525 * [backup-simplify]: Simplify 1 into 1
7.525 * [backup-simplify]: Simplify (/ PI 1) into PI
7.525 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.527 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.527 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.527 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
7.527 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
7.528 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.529 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
7.531 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.531 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
7.531 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
7.531 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
7.531 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
7.531 * [taylor]: Taking taylor expansion of 1/2 in n
7.531 * [backup-simplify]: Simplify 1/2 into 1/2
7.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.531 * [taylor]: Taking taylor expansion of 1/2 in n
7.531 * [backup-simplify]: Simplify 1/2 into 1/2
7.531 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.531 * [taylor]: Taking taylor expansion of k in n
7.531 * [backup-simplify]: Simplify k into k
7.531 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.531 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
7.531 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.531 * [taylor]: Taking taylor expansion of 2 in n
7.531 * [backup-simplify]: Simplify 2 into 2
7.531 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.531 * [taylor]: Taking taylor expansion of PI in n
7.531 * [backup-simplify]: Simplify PI into PI
7.531 * [taylor]: Taking taylor expansion of n in n
7.531 * [backup-simplify]: Simplify 0 into 0
7.531 * [backup-simplify]: Simplify 1 into 1
7.532 * [backup-simplify]: Simplify (/ PI 1) into PI
7.532 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.533 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.534 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.534 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
7.534 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
7.535 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.537 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
7.538 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.538 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
7.538 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
7.538 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
7.538 * [taylor]: Taking taylor expansion of 1/2 in k
7.538 * [backup-simplify]: Simplify 1/2 into 1/2
7.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.538 * [taylor]: Taking taylor expansion of 1/2 in k
7.538 * [backup-simplify]: Simplify 1/2 into 1/2
7.538 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.538 * [taylor]: Taking taylor expansion of k in k
7.538 * [backup-simplify]: Simplify 0 into 0
7.538 * [backup-simplify]: Simplify 1 into 1
7.539 * [backup-simplify]: Simplify (/ 1 1) into 1
7.539 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
7.539 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
7.539 * [taylor]: Taking taylor expansion of (* 2 PI) in k
7.539 * [taylor]: Taking taylor expansion of 2 in k
7.539 * [backup-simplify]: Simplify 2 into 2
7.539 * [taylor]: Taking taylor expansion of PI in k
7.539 * [backup-simplify]: Simplify PI into PI
7.539 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.540 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.540 * [taylor]: Taking taylor expansion of (log n) in k
7.540 * [taylor]: Taking taylor expansion of n in k
7.540 * [backup-simplify]: Simplify n into n
7.540 * [backup-simplify]: Simplify (log n) into (log n)
7.541 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.541 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.542 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.542 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
7.543 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
7.544 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
7.545 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.546 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.548 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.549 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
7.550 * [backup-simplify]: Simplify (- 0) into 0
7.550 * [backup-simplify]: Simplify (+ 0 0) into 0
7.552 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.553 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
7.555 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.555 * [taylor]: Taking taylor expansion of 0 in k
7.555 * [backup-simplify]: Simplify 0 into 0
7.555 * [backup-simplify]: Simplify 0 into 0
7.555 * [backup-simplify]: Simplify 0 into 0
7.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.558 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.561 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
7.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
7.563 * [backup-simplify]: Simplify (- 0) into 0
7.563 * [backup-simplify]: Simplify (+ 0 0) into 0
7.564 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.566 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
7.569 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.569 * [taylor]: Taking taylor expansion of 0 in k
7.569 * [backup-simplify]: Simplify 0 into 0
7.569 * [backup-simplify]: Simplify 0 into 0
7.569 * [backup-simplify]: Simplify 0 into 0
7.569 * [backup-simplify]: Simplify 0 into 0
7.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.577 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
7.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
7.579 * [backup-simplify]: Simplify (- 0) into 0
7.579 * [backup-simplify]: Simplify (+ 0 0) into 0
7.580 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.581 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
7.582 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.583 * [taylor]: Taking taylor expansion of 0 in k
7.583 * [backup-simplify]: Simplify 0 into 0
7.583 * [backup-simplify]: Simplify 0 into 0
7.583 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
7.583 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
7.584 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
7.584 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
7.584 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
7.584 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
7.584 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
7.584 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.584 * [taylor]: Taking taylor expansion of 1/2 in k
7.584 * [backup-simplify]: Simplify 1/2 into 1/2
7.584 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.584 * [taylor]: Taking taylor expansion of k in k
7.584 * [backup-simplify]: Simplify 0 into 0
7.584 * [backup-simplify]: Simplify 1 into 1
7.584 * [backup-simplify]: Simplify (/ 1 1) into 1
7.584 * [taylor]: Taking taylor expansion of 1/2 in k
7.584 * [backup-simplify]: Simplify 1/2 into 1/2
7.584 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
7.584 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
7.584 * [taylor]: Taking taylor expansion of -2 in k
7.584 * [backup-simplify]: Simplify -2 into -2
7.584 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.584 * [taylor]: Taking taylor expansion of PI in k
7.584 * [backup-simplify]: Simplify PI into PI
7.584 * [taylor]: Taking taylor expansion of n in k
7.584 * [backup-simplify]: Simplify n into n
7.584 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.584 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
7.584 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
7.585 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.585 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.585 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
7.585 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
7.585 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
7.585 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
7.585 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
7.585 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
7.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.585 * [taylor]: Taking taylor expansion of 1/2 in n
7.585 * [backup-simplify]: Simplify 1/2 into 1/2
7.585 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.585 * [taylor]: Taking taylor expansion of k in n
7.585 * [backup-simplify]: Simplify k into k
7.585 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.585 * [taylor]: Taking taylor expansion of 1/2 in n
7.585 * [backup-simplify]: Simplify 1/2 into 1/2
7.585 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
7.585 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.585 * [taylor]: Taking taylor expansion of -2 in n
7.585 * [backup-simplify]: Simplify -2 into -2
7.585 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.585 * [taylor]: Taking taylor expansion of PI in n
7.585 * [backup-simplify]: Simplify PI into PI
7.585 * [taylor]: Taking taylor expansion of n in n
7.585 * [backup-simplify]: Simplify 0 into 0
7.585 * [backup-simplify]: Simplify 1 into 1
7.588 * [backup-simplify]: Simplify (/ PI 1) into PI
7.588 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.589 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.589 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.589 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
7.590 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.591 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
7.591 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
7.591 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
7.591 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
7.591 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
7.591 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
7.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.591 * [taylor]: Taking taylor expansion of 1/2 in n
7.591 * [backup-simplify]: Simplify 1/2 into 1/2
7.591 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.591 * [taylor]: Taking taylor expansion of k in n
7.592 * [backup-simplify]: Simplify k into k
7.592 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.592 * [taylor]: Taking taylor expansion of 1/2 in n
7.592 * [backup-simplify]: Simplify 1/2 into 1/2
7.592 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
7.592 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.592 * [taylor]: Taking taylor expansion of -2 in n
7.592 * [backup-simplify]: Simplify -2 into -2
7.592 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.592 * [taylor]: Taking taylor expansion of PI in n
7.592 * [backup-simplify]: Simplify PI into PI
7.592 * [taylor]: Taking taylor expansion of n in n
7.592 * [backup-simplify]: Simplify 0 into 0
7.592 * [backup-simplify]: Simplify 1 into 1
7.592 * [backup-simplify]: Simplify (/ PI 1) into PI
7.592 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.593 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.593 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.593 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
7.594 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.595 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
7.595 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
7.596 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
7.596 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
7.596 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
7.596 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.596 * [taylor]: Taking taylor expansion of 1/2 in k
7.596 * [backup-simplify]: Simplify 1/2 into 1/2
7.596 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.596 * [taylor]: Taking taylor expansion of k in k
7.596 * [backup-simplify]: Simplify 0 into 0
7.596 * [backup-simplify]: Simplify 1 into 1
7.596 * [backup-simplify]: Simplify (/ 1 1) into 1
7.596 * [taylor]: Taking taylor expansion of 1/2 in k
7.596 * [backup-simplify]: Simplify 1/2 into 1/2
7.596 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
7.596 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
7.596 * [taylor]: Taking taylor expansion of (* -2 PI) in k
7.596 * [taylor]: Taking taylor expansion of -2 in k
7.596 * [backup-simplify]: Simplify -2 into -2
7.596 * [taylor]: Taking taylor expansion of PI in k
7.596 * [backup-simplify]: Simplify PI into PI
7.596 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.597 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.597 * [taylor]: Taking taylor expansion of (log n) in k
7.597 * [taylor]: Taking taylor expansion of n in k
7.597 * [backup-simplify]: Simplify n into n
7.597 * [backup-simplify]: Simplify (log n) into (log n)
7.597 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.598 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.598 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
7.599 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
7.599 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
7.600 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
7.601 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
7.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.603 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
7.605 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
7.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
7.606 * [backup-simplify]: Simplify (+ 0 0) into 0
7.607 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.609 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
7.611 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.611 * [taylor]: Taking taylor expansion of 0 in k
7.611 * [backup-simplify]: Simplify 0 into 0
7.611 * [backup-simplify]: Simplify 0 into 0
7.611 * [backup-simplify]: Simplify 0 into 0
7.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.613 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
7.616 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
7.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
7.618 * [backup-simplify]: Simplify (+ 0 0) into 0
7.620 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.621 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
7.624 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.624 * [taylor]: Taking taylor expansion of 0 in k
7.624 * [backup-simplify]: Simplify 0 into 0
7.624 * [backup-simplify]: Simplify 0 into 0
7.624 * [backup-simplify]: Simplify 0 into 0
7.624 * [backup-simplify]: Simplify 0 into 0
7.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.626 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.633 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
7.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
7.634 * [backup-simplify]: Simplify (+ 0 0) into 0
7.635 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.636 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
7.637 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.638 * [taylor]: Taking taylor expansion of 0 in k
7.638 * [backup-simplify]: Simplify 0 into 0
7.638 * [backup-simplify]: Simplify 0 into 0
7.638 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
7.638 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
7.639 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
7.639 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
7.639 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.639 * [taylor]: Taking taylor expansion of 2 in n
7.639 * [backup-simplify]: Simplify 2 into 2
7.639 * [taylor]: Taking taylor expansion of (* n PI) in n
7.639 * [taylor]: Taking taylor expansion of n in n
7.639 * [backup-simplify]: Simplify 0 into 0
7.639 * [backup-simplify]: Simplify 1 into 1
7.639 * [taylor]: Taking taylor expansion of PI in n
7.639 * [backup-simplify]: Simplify PI into PI
7.639 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.639 * [taylor]: Taking taylor expansion of 2 in n
7.639 * [backup-simplify]: Simplify 2 into 2
7.639 * [taylor]: Taking taylor expansion of (* n PI) in n
7.639 * [taylor]: Taking taylor expansion of n in n
7.639 * [backup-simplify]: Simplify 0 into 0
7.639 * [backup-simplify]: Simplify 1 into 1
7.639 * [taylor]: Taking taylor expansion of PI in n
7.639 * [backup-simplify]: Simplify PI into PI
7.639 * [backup-simplify]: Simplify (* 0 PI) into 0
7.639 * [backup-simplify]: Simplify (* 2 0) into 0
7.639 * [backup-simplify]: Simplify 0 into 0
7.640 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.641 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.642 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.643 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
7.643 * [backup-simplify]: Simplify 0 into 0
7.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
7.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
7.645 * [backup-simplify]: Simplify 0 into 0
7.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.646 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
7.646 * [backup-simplify]: Simplify 0 into 0
7.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.648 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
7.648 * [backup-simplify]: Simplify 0 into 0
7.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.650 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
7.650 * [backup-simplify]: Simplify 0 into 0
7.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
7.652 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
7.652 * [backup-simplify]: Simplify 0 into 0
7.652 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
7.652 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
7.653 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
7.653 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.653 * [taylor]: Taking taylor expansion of 2 in n
7.653 * [backup-simplify]: Simplify 2 into 2
7.653 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.653 * [taylor]: Taking taylor expansion of PI in n
7.653 * [backup-simplify]: Simplify PI into PI
7.653 * [taylor]: Taking taylor expansion of n in n
7.653 * [backup-simplify]: Simplify 0 into 0
7.653 * [backup-simplify]: Simplify 1 into 1
7.653 * [backup-simplify]: Simplify (/ PI 1) into PI
7.653 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.653 * [taylor]: Taking taylor expansion of 2 in n
7.653 * [backup-simplify]: Simplify 2 into 2
7.653 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.653 * [taylor]: Taking taylor expansion of PI in n
7.653 * [backup-simplify]: Simplify PI into PI
7.653 * [taylor]: Taking taylor expansion of n in n
7.653 * [backup-simplify]: Simplify 0 into 0
7.653 * [backup-simplify]: Simplify 1 into 1
7.653 * [backup-simplify]: Simplify (/ PI 1) into PI
7.654 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.654 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.655 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.655 * [backup-simplify]: Simplify 0 into 0
7.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.656 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.656 * [backup-simplify]: Simplify 0 into 0
7.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.658 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.658 * [backup-simplify]: Simplify 0 into 0
7.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.659 * [backup-simplify]: Simplify 0 into 0
7.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.661 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.661 * [backup-simplify]: Simplify 0 into 0
7.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.664 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.664 * [backup-simplify]: Simplify 0 into 0
7.664 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
7.664 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
7.664 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
7.664 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.665 * [taylor]: Taking taylor expansion of -2 in n
7.665 * [backup-simplify]: Simplify -2 into -2
7.665 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.665 * [taylor]: Taking taylor expansion of PI in n
7.665 * [backup-simplify]: Simplify PI into PI
7.665 * [taylor]: Taking taylor expansion of n in n
7.665 * [backup-simplify]: Simplify 0 into 0
7.665 * [backup-simplify]: Simplify 1 into 1
7.665 * [backup-simplify]: Simplify (/ PI 1) into PI
7.665 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.665 * [taylor]: Taking taylor expansion of -2 in n
7.665 * [backup-simplify]: Simplify -2 into -2
7.665 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.665 * [taylor]: Taking taylor expansion of PI in n
7.665 * [backup-simplify]: Simplify PI into PI
7.665 * [taylor]: Taking taylor expansion of n in n
7.665 * [backup-simplify]: Simplify 0 into 0
7.665 * [backup-simplify]: Simplify 1 into 1
7.666 * [backup-simplify]: Simplify (/ PI 1) into PI
7.666 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.667 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.669 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
7.669 * [backup-simplify]: Simplify 0 into 0
7.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.671 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
7.671 * [backup-simplify]: Simplify 0 into 0
7.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.673 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.673 * [backup-simplify]: Simplify 0 into 0
7.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.676 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.676 * [backup-simplify]: Simplify 0 into 0
7.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.679 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.679 * [backup-simplify]: Simplify 0 into 0
7.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.682 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.682 * [backup-simplify]: Simplify 0 into 0
7.682 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
7.682 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
7.683 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k))
7.683 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
7.683 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
7.683 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
7.683 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
7.683 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
7.683 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
7.683 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
7.683 * [taylor]: Taking taylor expansion of 1/2 in n
7.683 * [backup-simplify]: Simplify 1/2 into 1/2
7.683 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
7.683 * [taylor]: Taking taylor expansion of 1/2 in n
7.683 * [backup-simplify]: Simplify 1/2 into 1/2
7.683 * [taylor]: Taking taylor expansion of k in n
7.683 * [backup-simplify]: Simplify k into k
7.683 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.683 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.683 * [taylor]: Taking taylor expansion of 2 in n
7.683 * [backup-simplify]: Simplify 2 into 2
7.683 * [taylor]: Taking taylor expansion of (* n PI) in n
7.683 * [taylor]: Taking taylor expansion of n in n
7.683 * [backup-simplify]: Simplify 0 into 0
7.683 * [backup-simplify]: Simplify 1 into 1
7.683 * [taylor]: Taking taylor expansion of PI in n
7.683 * [backup-simplify]: Simplify PI into PI
7.684 * [backup-simplify]: Simplify (* 0 PI) into 0
7.684 * [backup-simplify]: Simplify (* 2 0) into 0
7.686 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.688 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.689 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.689 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
7.689 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
7.689 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
7.691 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.692 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
7.693 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
7.694 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
7.694 * [taylor]: Taking taylor expansion of (sqrt k) in n
7.694 * [taylor]: Taking taylor expansion of k in n
7.694 * [backup-simplify]: Simplify k into k
7.694 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
7.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
7.694 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
7.694 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
7.695 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
7.695 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
7.695 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
7.695 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.695 * [taylor]: Taking taylor expansion of 1/2 in k
7.695 * [backup-simplify]: Simplify 1/2 into 1/2
7.695 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.695 * [taylor]: Taking taylor expansion of 1/2 in k
7.695 * [backup-simplify]: Simplify 1/2 into 1/2
7.695 * [taylor]: Taking taylor expansion of k in k
7.695 * [backup-simplify]: Simplify 0 into 0
7.695 * [backup-simplify]: Simplify 1 into 1
7.695 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
7.695 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
7.695 * [taylor]: Taking taylor expansion of 2 in k
7.695 * [backup-simplify]: Simplify 2 into 2
7.695 * [taylor]: Taking taylor expansion of (* n PI) in k
7.695 * [taylor]: Taking taylor expansion of n in k
7.695 * [backup-simplify]: Simplify n into n
7.695 * [taylor]: Taking taylor expansion of PI in k
7.695 * [backup-simplify]: Simplify PI into PI
7.695 * [backup-simplify]: Simplify (* n PI) into (* n PI)
7.695 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
7.695 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
7.696 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.696 * [backup-simplify]: Simplify (- 0) into 0
7.697 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.697 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
7.697 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
7.697 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
7.697 * [taylor]: Taking taylor expansion of (sqrt k) in k
7.697 * [taylor]: Taking taylor expansion of k in k
7.697 * [backup-simplify]: Simplify 0 into 0
7.697 * [backup-simplify]: Simplify 1 into 1
7.698 * [backup-simplify]: Simplify (sqrt 0) into 0
7.700 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.700 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
7.700 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
7.700 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
7.700 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
7.700 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
7.700 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.700 * [taylor]: Taking taylor expansion of 1/2 in k
7.700 * [backup-simplify]: Simplify 1/2 into 1/2
7.700 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.700 * [taylor]: Taking taylor expansion of 1/2 in k
7.700 * [backup-simplify]: Simplify 1/2 into 1/2
7.700 * [taylor]: Taking taylor expansion of k in k
7.700 * [backup-simplify]: Simplify 0 into 0
7.700 * [backup-simplify]: Simplify 1 into 1
7.700 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
7.700 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
7.700 * [taylor]: Taking taylor expansion of 2 in k
7.700 * [backup-simplify]: Simplify 2 into 2
7.700 * [taylor]: Taking taylor expansion of (* n PI) in k
7.700 * [taylor]: Taking taylor expansion of n in k
7.700 * [backup-simplify]: Simplify n into n
7.700 * [taylor]: Taking taylor expansion of PI in k
7.700 * [backup-simplify]: Simplify PI into PI
7.700 * [backup-simplify]: Simplify (* n PI) into (* n PI)
7.700 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
7.700 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
7.701 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.701 * [backup-simplify]: Simplify (- 0) into 0
7.702 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.702 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
7.702 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
7.702 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
7.702 * [taylor]: Taking taylor expansion of (sqrt k) in k
7.702 * [taylor]: Taking taylor expansion of k in k
7.702 * [backup-simplify]: Simplify 0 into 0
7.702 * [backup-simplify]: Simplify 1 into 1
7.703 * [backup-simplify]: Simplify (sqrt 0) into 0
7.704 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.704 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
7.704 * [taylor]: Taking taylor expansion of 0 in n
7.704 * [backup-simplify]: Simplify 0 into 0
7.704 * [backup-simplify]: Simplify 0 into 0
7.705 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
7.705 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
7.706 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
7.707 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.707 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.708 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
7.709 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
7.710 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))
7.715 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))
7.715 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
7.715 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
7.715 * [taylor]: Taking taylor expansion of +nan.0 in n
7.715 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.715 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
7.715 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
7.715 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
7.715 * [taylor]: Taking taylor expansion of (* n PI) in n
7.715 * [taylor]: Taking taylor expansion of n in n
7.715 * [backup-simplify]: Simplify 0 into 0
7.715 * [backup-simplify]: Simplify 1 into 1
7.715 * [taylor]: Taking taylor expansion of PI in n
7.715 * [backup-simplify]: Simplify PI into PI
7.716 * [backup-simplify]: Simplify (* 0 PI) into 0
7.717 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.718 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
7.718 * [backup-simplify]: Simplify (sqrt 0) into 0
7.721 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
7.721 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
7.721 * [taylor]: Taking taylor expansion of 1/2 in n
7.721 * [backup-simplify]: Simplify 1/2 into 1/2
7.721 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.725 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
7.725 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
7.731 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
7.734 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
7.737 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
7.737 * [backup-simplify]: Simplify 0 into 0
7.740 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.741 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
7.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
7.743 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
7.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.745 * [backup-simplify]: Simplify (- 0) into 0
7.745 * [backup-simplify]: Simplify (+ 0 0) into 0
7.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
7.747 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
7.750 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))))
7.756 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))))
7.756 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n
7.756 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n
7.756 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
7.757 * [taylor]: Taking taylor expansion of +nan.0 in n
7.757 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.757 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
7.757 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
7.757 * [taylor]: Taking taylor expansion of (sqrt 2) in n
7.757 * [taylor]: Taking taylor expansion of 2 in n
7.757 * [backup-simplify]: Simplify 2 into 2
7.757 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.758 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
7.758 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.758 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.758 * [taylor]: Taking taylor expansion of 2 in n
7.758 * [backup-simplify]: Simplify 2 into 2
7.758 * [taylor]: Taking taylor expansion of (* n PI) in n
7.758 * [taylor]: Taking taylor expansion of n in n
7.758 * [backup-simplify]: Simplify 0 into 0
7.758 * [backup-simplify]: Simplify 1 into 1
7.758 * [taylor]: Taking taylor expansion of PI in n
7.758 * [backup-simplify]: Simplify PI into PI
7.758 * [backup-simplify]: Simplify (* 0 PI) into 0
7.759 * [backup-simplify]: Simplify (* 2 0) into 0
7.760 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.762 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.763 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.763 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
7.763 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
7.763 * [taylor]: Taking taylor expansion of 1/2 in n
7.763 * [backup-simplify]: Simplify 1/2 into 1/2
7.764 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
7.765 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
7.765 * [taylor]: Taking taylor expansion of (* n PI) in n
7.765 * [taylor]: Taking taylor expansion of n in n
7.765 * [backup-simplify]: Simplify 0 into 0
7.765 * [backup-simplify]: Simplify 1 into 1
7.765 * [taylor]: Taking taylor expansion of PI in n
7.765 * [backup-simplify]: Simplify PI into PI
7.765 * [backup-simplify]: Simplify (* 0 PI) into 0
7.767 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.767 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
7.768 * [backup-simplify]: Simplify (sqrt 0) into 0
7.770 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
7.770 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
7.770 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
7.770 * [taylor]: Taking taylor expansion of +nan.0 in n
7.770 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.770 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
7.771 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
7.771 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
7.771 * [taylor]: Taking taylor expansion of (* n PI) in n
7.771 * [taylor]: Taking taylor expansion of n in n
7.771 * [backup-simplify]: Simplify 0 into 0
7.771 * [backup-simplify]: Simplify 1 into 1
7.771 * [taylor]: Taking taylor expansion of PI in n
7.771 * [backup-simplify]: Simplify PI into PI
7.771 * [backup-simplify]: Simplify (* 0 PI) into 0
7.773 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.773 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
7.774 * [backup-simplify]: Simplify (sqrt 0) into 0
7.776 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
7.776 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
7.776 * [taylor]: Taking taylor expansion of 1/2 in n
7.776 * [backup-simplify]: Simplify 1/2 into 1/2
7.777 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.779 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.780 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
7.782 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
7.785 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))
7.786 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.787 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
7.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.789 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
7.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.793 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
7.796 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
7.799 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
7.802 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
7.814 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
7.817 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
7.818 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
7.824 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
7.827 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
7.835 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
7.850 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
7.861 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
7.862 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
7.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
7.866 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
7.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
7.876 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
7.880 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
7.882 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
7.898 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
7.898 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k)))
7.898 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
7.898 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
7.898 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
7.898 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
7.898 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
7.898 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
7.898 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
7.898 * [taylor]: Taking taylor expansion of 1/2 in n
7.898 * [backup-simplify]: Simplify 1/2 into 1/2
7.898 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.898 * [taylor]: Taking taylor expansion of 1/2 in n
7.898 * [backup-simplify]: Simplify 1/2 into 1/2
7.898 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.898 * [taylor]: Taking taylor expansion of k in n
7.898 * [backup-simplify]: Simplify k into k
7.898 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.898 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
7.898 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.898 * [taylor]: Taking taylor expansion of 2 in n
7.898 * [backup-simplify]: Simplify 2 into 2
7.898 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.898 * [taylor]: Taking taylor expansion of PI in n
7.898 * [backup-simplify]: Simplify PI into PI
7.898 * [taylor]: Taking taylor expansion of n in n
7.898 * [backup-simplify]: Simplify 0 into 0
7.898 * [backup-simplify]: Simplify 1 into 1
7.899 * [backup-simplify]: Simplify (/ PI 1) into PI
7.899 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.900 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.900 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.900 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
7.900 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
7.901 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.901 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
7.902 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.903 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
7.903 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
7.903 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.903 * [taylor]: Taking taylor expansion of k in n
7.903 * [backup-simplify]: Simplify k into k
7.903 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.903 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
7.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
7.903 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
7.903 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
7.903 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
7.903 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
7.903 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
7.903 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
7.903 * [taylor]: Taking taylor expansion of 1/2 in k
7.903 * [backup-simplify]: Simplify 1/2 into 1/2
7.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.903 * [taylor]: Taking taylor expansion of 1/2 in k
7.903 * [backup-simplify]: Simplify 1/2 into 1/2
7.903 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.903 * [taylor]: Taking taylor expansion of k in k
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify 1 into 1
7.904 * [backup-simplify]: Simplify (/ 1 1) into 1
7.904 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
7.904 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
7.904 * [taylor]: Taking taylor expansion of 2 in k
7.904 * [backup-simplify]: Simplify 2 into 2
7.904 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.904 * [taylor]: Taking taylor expansion of PI in k
7.904 * [backup-simplify]: Simplify PI into PI
7.904 * [taylor]: Taking taylor expansion of n in k
7.904 * [backup-simplify]: Simplify n into n
7.904 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.904 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
7.904 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
7.904 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.905 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.905 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.905 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
7.905 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
7.905 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
7.905 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
7.905 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.906 * [taylor]: Taking taylor expansion of k in k
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify 1 into 1
7.906 * [backup-simplify]: Simplify (/ 1 1) into 1
7.906 * [backup-simplify]: Simplify (sqrt 0) into 0
7.908 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.908 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
7.908 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
7.908 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
7.908 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
7.908 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
7.908 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
7.908 * [taylor]: Taking taylor expansion of 1/2 in k
7.908 * [backup-simplify]: Simplify 1/2 into 1/2
7.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.908 * [taylor]: Taking taylor expansion of 1/2 in k
7.908 * [backup-simplify]: Simplify 1/2 into 1/2
7.908 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.908 * [taylor]: Taking taylor expansion of k in k
7.908 * [backup-simplify]: Simplify 0 into 0
7.908 * [backup-simplify]: Simplify 1 into 1
7.908 * [backup-simplify]: Simplify (/ 1 1) into 1
7.908 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
7.908 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
7.908 * [taylor]: Taking taylor expansion of 2 in k
7.908 * [backup-simplify]: Simplify 2 into 2
7.908 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.908 * [taylor]: Taking taylor expansion of PI in k
7.908 * [backup-simplify]: Simplify PI into PI
7.908 * [taylor]: Taking taylor expansion of n in k
7.908 * [backup-simplify]: Simplify n into n
7.909 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.909 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
7.909 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
7.909 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.909 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.910 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.910 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
7.910 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
7.910 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
7.910 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
7.910 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.910 * [taylor]: Taking taylor expansion of k in k
7.910 * [backup-simplify]: Simplify 0 into 0
7.910 * [backup-simplify]: Simplify 1 into 1
7.911 * [backup-simplify]: Simplify (/ 1 1) into 1
7.911 * [backup-simplify]: Simplify (sqrt 0) into 0
7.912 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.913 * [backup-simplify]: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
7.913 * [taylor]: Taking taylor expansion of 0 in n
7.913 * [backup-simplify]: Simplify 0 into 0
7.913 * [backup-simplify]: Simplify 0 into 0
7.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
7.914 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
7.914 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
7.914 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
7.914 * [taylor]: Taking taylor expansion of +nan.0 in n
7.914 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.914 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
7.914 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
7.914 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
7.914 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
7.914 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
7.914 * [taylor]: Taking taylor expansion of 1/2 in n
7.914 * [backup-simplify]: Simplify 1/2 into 1/2
7.914 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.914 * [taylor]: Taking taylor expansion of 1/2 in n
7.914 * [backup-simplify]: Simplify 1/2 into 1/2
7.914 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.914 * [taylor]: Taking taylor expansion of k in n
7.914 * [backup-simplify]: Simplify k into k
7.914 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.914 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
7.914 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.914 * [taylor]: Taking taylor expansion of 2 in n
7.914 * [backup-simplify]: Simplify 2 into 2
7.914 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.914 * [taylor]: Taking taylor expansion of PI in n
7.914 * [backup-simplify]: Simplify PI into PI
7.914 * [taylor]: Taking taylor expansion of n in n
7.914 * [backup-simplify]: Simplify 0 into 0
7.914 * [backup-simplify]: Simplify 1 into 1
7.915 * [backup-simplify]: Simplify (/ PI 1) into PI
7.915 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.916 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.916 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.916 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
7.916 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
7.918 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.919 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
7.921 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.922 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
7.923 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
7.924 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
7.925 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
7.925 * [backup-simplify]: Simplify 0 into 0
7.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.929 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
7.930 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
7.930 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
7.930 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
7.930 * [taylor]: Taking taylor expansion of +nan.0 in n
7.930 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.930 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
7.930 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
7.930 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
7.930 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
7.931 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
7.931 * [taylor]: Taking taylor expansion of 1/2 in n
7.931 * [backup-simplify]: Simplify 1/2 into 1/2
7.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.931 * [taylor]: Taking taylor expansion of 1/2 in n
7.931 * [backup-simplify]: Simplify 1/2 into 1/2
7.931 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.931 * [taylor]: Taking taylor expansion of k in n
7.931 * [backup-simplify]: Simplify k into k
7.931 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.931 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
7.931 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.931 * [taylor]: Taking taylor expansion of 2 in n
7.931 * [backup-simplify]: Simplify 2 into 2
7.931 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.931 * [taylor]: Taking taylor expansion of PI in n
7.931 * [backup-simplify]: Simplify PI into PI
7.931 * [taylor]: Taking taylor expansion of n in n
7.931 * [backup-simplify]: Simplify 0 into 0
7.931 * [backup-simplify]: Simplify 1 into 1
7.931 * [backup-simplify]: Simplify (/ PI 1) into PI
7.932 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.933 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.933 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.933 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
7.933 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
7.934 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.935 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
7.937 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.938 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
7.939 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
7.940 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
7.944 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
7.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.946 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
7.948 * [backup-simplify]: Simplify (- 0) into 0
7.949 * [backup-simplify]: Simplify (+ 0 0) into 0
7.950 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.951 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
7.953 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
7.957 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
7.957 * [backup-simplify]: Simplify (- 0) into 0
7.957 * [backup-simplify]: Simplify 0 into 0
7.958 * [backup-simplify]: Simplify 0 into 0
7.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
7.964 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
7.964 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
7.964 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
7.964 * [taylor]: Taking taylor expansion of +nan.0 in n
7.964 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.964 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
7.964 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
7.964 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
7.964 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
7.964 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
7.964 * [taylor]: Taking taylor expansion of 1/2 in n
7.964 * [backup-simplify]: Simplify 1/2 into 1/2
7.964 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.964 * [taylor]: Taking taylor expansion of 1/2 in n
7.964 * [backup-simplify]: Simplify 1/2 into 1/2
7.964 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.964 * [taylor]: Taking taylor expansion of k in n
7.964 * [backup-simplify]: Simplify k into k
7.964 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.964 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
7.964 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.964 * [taylor]: Taking taylor expansion of 2 in n
7.964 * [backup-simplify]: Simplify 2 into 2
7.964 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.964 * [taylor]: Taking taylor expansion of PI in n
7.964 * [backup-simplify]: Simplify PI into PI
7.964 * [taylor]: Taking taylor expansion of n in n
7.964 * [backup-simplify]: Simplify 0 into 0
7.964 * [backup-simplify]: Simplify 1 into 1
7.965 * [backup-simplify]: Simplify (/ PI 1) into PI
7.965 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.966 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.966 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.966 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
7.966 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
7.968 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.969 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
7.970 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
7.971 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
7.972 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
7.973 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
7.974 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
7.978 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
7.978 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))
7.978 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
7.979 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
7.979 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
7.979 * [taylor]: Taking taylor expansion of (/ -1 k) in n
7.979 * [taylor]: Taking taylor expansion of -1 in n
7.979 * [backup-simplify]: Simplify -1 into -1
7.979 * [taylor]: Taking taylor expansion of k in n
7.979 * [backup-simplify]: Simplify k into k
7.979 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
7.979 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
7.979 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
7.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
7.979 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
7.979 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
7.979 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
7.979 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
7.979 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.979 * [taylor]: Taking taylor expansion of 1/2 in n
7.979 * [backup-simplify]: Simplify 1/2 into 1/2
7.979 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.979 * [taylor]: Taking taylor expansion of k in n
7.979 * [backup-simplify]: Simplify k into k
7.979 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.979 * [taylor]: Taking taylor expansion of 1/2 in n
7.979 * [backup-simplify]: Simplify 1/2 into 1/2
7.979 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
7.979 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.979 * [taylor]: Taking taylor expansion of -2 in n
7.979 * [backup-simplify]: Simplify -2 into -2
7.979 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.979 * [taylor]: Taking taylor expansion of PI in n
7.979 * [backup-simplify]: Simplify PI into PI
7.979 * [taylor]: Taking taylor expansion of n in n
7.979 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 1 into 1
7.980 * [backup-simplify]: Simplify (/ PI 1) into PI
7.980 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.981 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.981 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.982 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
7.983 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.984 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
7.985 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
7.986 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
7.986 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
7.986 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
7.986 * [taylor]: Taking taylor expansion of (/ -1 k) in k
7.986 * [taylor]: Taking taylor expansion of -1 in k
7.986 * [backup-simplify]: Simplify -1 into -1
7.986 * [taylor]: Taking taylor expansion of k in k
7.986 * [backup-simplify]: Simplify 0 into 0
7.986 * [backup-simplify]: Simplify 1 into 1
7.987 * [backup-simplify]: Simplify (/ -1 1) into -1
7.987 * [backup-simplify]: Simplify (sqrt 0) into 0
7.988 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.988 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
7.988 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
7.988 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
7.988 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
7.988 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.988 * [taylor]: Taking taylor expansion of 1/2 in k
7.989 * [backup-simplify]: Simplify 1/2 into 1/2
7.989 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.989 * [taylor]: Taking taylor expansion of k in k
7.989 * [backup-simplify]: Simplify 0 into 0
7.989 * [backup-simplify]: Simplify 1 into 1
7.989 * [backup-simplify]: Simplify (/ 1 1) into 1
7.989 * [taylor]: Taking taylor expansion of 1/2 in k
7.989 * [backup-simplify]: Simplify 1/2 into 1/2
7.989 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
7.989 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
7.989 * [taylor]: Taking taylor expansion of -2 in k
7.989 * [backup-simplify]: Simplify -2 into -2
7.989 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.989 * [taylor]: Taking taylor expansion of PI in k
7.989 * [backup-simplify]: Simplify PI into PI
7.989 * [taylor]: Taking taylor expansion of n in k
7.989 * [backup-simplify]: Simplify n into n
7.989 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.989 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
7.989 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
7.990 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.990 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.990 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
7.990 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
7.991 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
7.991 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
7.991 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
7.991 * [taylor]: Taking taylor expansion of (/ -1 k) in k
7.991 * [taylor]: Taking taylor expansion of -1 in k
7.991 * [backup-simplify]: Simplify -1 into -1
7.991 * [taylor]: Taking taylor expansion of k in k
7.991 * [backup-simplify]: Simplify 0 into 0
7.991 * [backup-simplify]: Simplify 1 into 1
7.991 * [backup-simplify]: Simplify (/ -1 1) into -1
7.992 * [backup-simplify]: Simplify (sqrt 0) into 0
7.993 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.993 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
7.993 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
7.993 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
7.993 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
7.993 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.993 * [taylor]: Taking taylor expansion of 1/2 in k
7.993 * [backup-simplify]: Simplify 1/2 into 1/2
7.993 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.993 * [taylor]: Taking taylor expansion of k in k
7.993 * [backup-simplify]: Simplify 0 into 0
7.993 * [backup-simplify]: Simplify 1 into 1
7.993 * [backup-simplify]: Simplify (/ 1 1) into 1
7.993 * [taylor]: Taking taylor expansion of 1/2 in k
7.993 * [backup-simplify]: Simplify 1/2 into 1/2
7.993 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
7.993 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
7.993 * [taylor]: Taking taylor expansion of -2 in k
7.993 * [backup-simplify]: Simplify -2 into -2
7.994 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.994 * [taylor]: Taking taylor expansion of PI in k
7.994 * [backup-simplify]: Simplify PI into PI
7.994 * [taylor]: Taking taylor expansion of n in k
7.994 * [backup-simplify]: Simplify n into n
7.994 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.994 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
7.994 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
7.994 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.995 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.995 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
7.995 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
7.995 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
7.995 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
7.995 * [taylor]: Taking taylor expansion of +nan.0 in n
7.995 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.995 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
7.995 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
7.995 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
7.995 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.995 * [taylor]: Taking taylor expansion of -2 in n
7.995 * [backup-simplify]: Simplify -2 into -2
7.995 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.995 * [taylor]: Taking taylor expansion of PI in n
7.995 * [backup-simplify]: Simplify PI into PI
7.995 * [taylor]: Taking taylor expansion of n in n
7.995 * [backup-simplify]: Simplify 0 into 0
7.995 * [backup-simplify]: Simplify 1 into 1
7.996 * [backup-simplify]: Simplify (/ PI 1) into PI
7.996 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.997 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.997 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
7.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.997 * [taylor]: Taking taylor expansion of 1/2 in n
7.997 * [backup-simplify]: Simplify 1/2 into 1/2
7.997 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.997 * [taylor]: Taking taylor expansion of k in n
7.997 * [backup-simplify]: Simplify k into k
7.998 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.998 * [taylor]: Taking taylor expansion of 1/2 in n
7.998 * [backup-simplify]: Simplify 1/2 into 1/2
7.999 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.999 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.999 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
8.000 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
8.001 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
8.002 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
8.003 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
8.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.007 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.007 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
8.007 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
8.007 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
8.007 * [taylor]: Taking taylor expansion of +nan.0 in n
8.007 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.008 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
8.008 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
8.008 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
8.008 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.008 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.008 * [taylor]: Taking taylor expansion of -2 in n
8.008 * [backup-simplify]: Simplify -2 into -2
8.008 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.008 * [taylor]: Taking taylor expansion of PI in n
8.008 * [backup-simplify]: Simplify PI into PI
8.008 * [taylor]: Taking taylor expansion of n in n
8.008 * [backup-simplify]: Simplify 0 into 0
8.008 * [backup-simplify]: Simplify 1 into 1
8.008 * [backup-simplify]: Simplify (/ PI 1) into PI
8.009 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.010 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.010 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
8.010 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.010 * [taylor]: Taking taylor expansion of 1/2 in n
8.010 * [backup-simplify]: Simplify 1/2 into 1/2
8.010 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.010 * [taylor]: Taking taylor expansion of k in n
8.010 * [backup-simplify]: Simplify k into k
8.010 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.010 * [taylor]: Taking taylor expansion of 1/2 in n
8.010 * [backup-simplify]: Simplify 1/2 into 1/2
8.011 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.011 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.012 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
8.013 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
8.014 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
8.015 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
8.016 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
8.017 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
8.018 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
8.020 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
8.021 * [backup-simplify]: Simplify (+ 0 0) into 0
8.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.022 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
8.024 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
8.025 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
8.027 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.031 * [backup-simplify]: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
8.031 * [backup-simplify]: Simplify 0 into 0
8.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.038 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
8.038 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
8.038 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
8.038 * [taylor]: Taking taylor expansion of +nan.0 in n
8.038 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.038 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
8.038 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
8.038 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
8.038 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.038 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.038 * [taylor]: Taking taylor expansion of -2 in n
8.038 * [backup-simplify]: Simplify -2 into -2
8.038 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.038 * [taylor]: Taking taylor expansion of PI in n
8.038 * [backup-simplify]: Simplify PI into PI
8.038 * [taylor]: Taking taylor expansion of n in n
8.038 * [backup-simplify]: Simplify 0 into 0
8.038 * [backup-simplify]: Simplify 1 into 1
8.039 * [backup-simplify]: Simplify (/ PI 1) into PI
8.039 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.040 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.040 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
8.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.041 * [taylor]: Taking taylor expansion of 1/2 in n
8.041 * [backup-simplify]: Simplify 1/2 into 1/2
8.041 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.041 * [taylor]: Taking taylor expansion of k in n
8.041 * [backup-simplify]: Simplify k into k
8.041 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.041 * [taylor]: Taking taylor expansion of 1/2 in n
8.041 * [backup-simplify]: Simplify 1/2 into 1/2
8.042 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.042 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.042 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
8.044 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
8.045 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
8.046 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
8.047 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
8.049 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
8.049 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
8.052 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
8.052 * * * * [progress]: [ 4 / 4 ] generating series at (2)
8.052 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
8.053 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0
8.053 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
8.053 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
8.053 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.053 * [taylor]: Taking taylor expansion of k in n
8.053 * [backup-simplify]: Simplify k into k
8.053 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.053 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
8.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
8.053 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
8.053 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
8.053 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
8.053 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
8.053 * [taylor]: Taking taylor expansion of 1/2 in n
8.053 * [backup-simplify]: Simplify 1/2 into 1/2
8.053 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
8.053 * [taylor]: Taking taylor expansion of 1/2 in n
8.053 * [backup-simplify]: Simplify 1/2 into 1/2
8.053 * [taylor]: Taking taylor expansion of k in n
8.053 * [backup-simplify]: Simplify k into k
8.053 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
8.053 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.053 * [taylor]: Taking taylor expansion of 2 in n
8.053 * [backup-simplify]: Simplify 2 into 2
8.053 * [taylor]: Taking taylor expansion of (* n PI) in n
8.053 * [taylor]: Taking taylor expansion of n in n
8.053 * [backup-simplify]: Simplify 0 into 0
8.053 * [backup-simplify]: Simplify 1 into 1
8.053 * [taylor]: Taking taylor expansion of PI in n
8.053 * [backup-simplify]: Simplify PI into PI
8.053 * [backup-simplify]: Simplify (* 0 PI) into 0
8.054 * [backup-simplify]: Simplify (* 2 0) into 0
8.055 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.056 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.056 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.056 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
8.056 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
8.057 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
8.057 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.058 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
8.059 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
8.059 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
8.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
8.059 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.059 * [taylor]: Taking taylor expansion of k in k
8.059 * [backup-simplify]: Simplify 0 into 0
8.059 * [backup-simplify]: Simplify 1 into 1
8.059 * [backup-simplify]: Simplify (/ 1 1) into 1
8.060 * [backup-simplify]: Simplify (sqrt 0) into 0
8.060 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.060 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
8.060 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
8.060 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
8.060 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
8.060 * [taylor]: Taking taylor expansion of 1/2 in k
8.061 * [backup-simplify]: Simplify 1/2 into 1/2
8.061 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
8.061 * [taylor]: Taking taylor expansion of 1/2 in k
8.061 * [backup-simplify]: Simplify 1/2 into 1/2
8.061 * [taylor]: Taking taylor expansion of k in k
8.061 * [backup-simplify]: Simplify 0 into 0
8.061 * [backup-simplify]: Simplify 1 into 1
8.061 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
8.061 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
8.061 * [taylor]: Taking taylor expansion of 2 in k
8.061 * [backup-simplify]: Simplify 2 into 2
8.061 * [taylor]: Taking taylor expansion of (* n PI) in k
8.061 * [taylor]: Taking taylor expansion of n in k
8.061 * [backup-simplify]: Simplify n into n
8.061 * [taylor]: Taking taylor expansion of PI in k
8.061 * [backup-simplify]: Simplify PI into PI
8.061 * [backup-simplify]: Simplify (* n PI) into (* n PI)
8.061 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
8.061 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
8.061 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.061 * [backup-simplify]: Simplify (- 0) into 0
8.062 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.062 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
8.062 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
8.062 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
8.062 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
8.062 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.062 * [taylor]: Taking taylor expansion of k in k
8.062 * [backup-simplify]: Simplify 0 into 0
8.062 * [backup-simplify]: Simplify 1 into 1
8.062 * [backup-simplify]: Simplify (/ 1 1) into 1
8.062 * [backup-simplify]: Simplify (sqrt 0) into 0
8.063 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.063 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
8.063 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
8.063 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
8.063 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
8.063 * [taylor]: Taking taylor expansion of 1/2 in k
8.063 * [backup-simplify]: Simplify 1/2 into 1/2
8.063 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
8.063 * [taylor]: Taking taylor expansion of 1/2 in k
8.063 * [backup-simplify]: Simplify 1/2 into 1/2
8.063 * [taylor]: Taking taylor expansion of k in k
8.063 * [backup-simplify]: Simplify 0 into 0
8.063 * [backup-simplify]: Simplify 1 into 1
8.063 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
8.063 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
8.064 * [taylor]: Taking taylor expansion of 2 in k
8.064 * [backup-simplify]: Simplify 2 into 2
8.064 * [taylor]: Taking taylor expansion of (* n PI) in k
8.064 * [taylor]: Taking taylor expansion of n in k
8.064 * [backup-simplify]: Simplify n into n
8.064 * [taylor]: Taking taylor expansion of PI in k
8.064 * [backup-simplify]: Simplify PI into PI
8.064 * [backup-simplify]: Simplify (* n PI) into (* n PI)
8.064 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
8.064 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
8.064 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.064 * [backup-simplify]: Simplify (- 0) into 0
8.065 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.065 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
8.065 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
8.065 * [backup-simplify]: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0
8.065 * [taylor]: Taking taylor expansion of 0 in n
8.065 * [backup-simplify]: Simplify 0 into 0
8.065 * [backup-simplify]: Simplify 0 into 0
8.065 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
8.066 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
8.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
8.070 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
8.070 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.070 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
8.071 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
8.071 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
8.071 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
8.071 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
8.071 * [taylor]: Taking taylor expansion of +nan.0 in n
8.071 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.071 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
8.071 * [taylor]: Taking taylor expansion of (sqrt 2) in n
8.071 * [taylor]: Taking taylor expansion of 2 in n
8.071 * [backup-simplify]: Simplify 2 into 2
8.071 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.072 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
8.072 * [taylor]: Taking taylor expansion of (* n PI) in n
8.072 * [taylor]: Taking taylor expansion of n in n
8.072 * [backup-simplify]: Simplify 0 into 0
8.072 * [backup-simplify]: Simplify 1 into 1
8.072 * [taylor]: Taking taylor expansion of PI in n
8.072 * [backup-simplify]: Simplify PI into PI
8.072 * [backup-simplify]: Simplify (* 0 PI) into 0
8.073 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.073 * [backup-simplify]: Simplify (sqrt 0) into 0
8.074 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
8.075 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
8.075 * [backup-simplify]: Simplify (* +nan.0 0) into 0
8.075 * [backup-simplify]: Simplify (- 0) into 0
8.075 * [backup-simplify]: Simplify 0 into 0
8.075 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
8.076 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
8.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
8.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
8.079 * [backup-simplify]: Simplify (- 0) into 0
8.080 * [backup-simplify]: Simplify (+ 0 0) into 0
8.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
8.082 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
8.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.086 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.086 * [backup-simplify]: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
8.087 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
8.087 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
8.087 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
8.087 * [taylor]: Taking taylor expansion of +nan.0 in n
8.087 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.087 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
8.087 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
8.087 * [taylor]: Taking taylor expansion of (sqrt 2) in n
8.087 * [taylor]: Taking taylor expansion of 2 in n
8.087 * [backup-simplify]: Simplify 2 into 2
8.087 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.088 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
8.088 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.088 * [taylor]: Taking taylor expansion of 2 in n
8.088 * [backup-simplify]: Simplify 2 into 2
8.088 * [taylor]: Taking taylor expansion of (* n PI) in n
8.088 * [taylor]: Taking taylor expansion of n in n
8.088 * [backup-simplify]: Simplify 0 into 0
8.088 * [backup-simplify]: Simplify 1 into 1
8.088 * [taylor]: Taking taylor expansion of PI in n
8.088 * [backup-simplify]: Simplify PI into PI
8.089 * [backup-simplify]: Simplify (* 0 PI) into 0
8.089 * [backup-simplify]: Simplify (* 2 0) into 0
8.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.092 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.093 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.093 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
8.093 * [taylor]: Taking taylor expansion of (* n PI) in n
8.093 * [taylor]: Taking taylor expansion of n in n
8.093 * [backup-simplify]: Simplify 0 into 0
8.093 * [backup-simplify]: Simplify 1 into 1
8.093 * [taylor]: Taking taylor expansion of PI in n
8.093 * [backup-simplify]: Simplify PI into PI
8.094 * [backup-simplify]: Simplify (* 0 PI) into 0
8.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.096 * [backup-simplify]: Simplify (sqrt 0) into 0
8.097 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
8.097 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
8.097 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
8.097 * [taylor]: Taking taylor expansion of +nan.0 in n
8.097 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.097 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
8.097 * [taylor]: Taking taylor expansion of (sqrt 2) in n
8.097 * [taylor]: Taking taylor expansion of 2 in n
8.097 * [backup-simplify]: Simplify 2 into 2
8.098 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.098 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
8.098 * [taylor]: Taking taylor expansion of (* n PI) in n
8.098 * [taylor]: Taking taylor expansion of n in n
8.098 * [backup-simplify]: Simplify 0 into 0
8.098 * [backup-simplify]: Simplify 1 into 1
8.098 * [taylor]: Taking taylor expansion of PI in n
8.098 * [backup-simplify]: Simplify PI into PI
8.099 * [backup-simplify]: Simplify (* 0 PI) into 0
8.100 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.101 * [backup-simplify]: Simplify (sqrt 0) into 0
8.102 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
8.103 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.105 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
8.106 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
8.106 * [backup-simplify]: Simplify (* +nan.0 0) into 0
8.107 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
8.107 * [backup-simplify]: Simplify (* +nan.0 0) into 0
8.108 * [backup-simplify]: Simplify (- 0) into 0
8.108 * [backup-simplify]: Simplify (+ 0 0) into 0
8.108 * [backup-simplify]: Simplify (- 0) into 0
8.108 * [backup-simplify]: Simplify 0 into 0
8.111 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
8.116 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
8.119 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
8.120 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
8.120 * [backup-simplify]: Simplify 0 into 0
8.121 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
8.124 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
8.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.125 * [backup-simplify]: Simplify (- 0) into 0
8.125 * [backup-simplify]: Simplify (+ 0 0) into 0
8.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
8.127 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
8.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.131 * [backup-simplify]: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))))
8.131 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n
8.131 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n
8.131 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
8.131 * [taylor]: Taking taylor expansion of +nan.0 in n
8.131 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.131 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
8.131 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
8.131 * [taylor]: Taking taylor expansion of (sqrt 2) in n
8.131 * [taylor]: Taking taylor expansion of 2 in n
8.131 * [backup-simplify]: Simplify 2 into 2
8.131 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.132 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
8.132 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.132 * [taylor]: Taking taylor expansion of 2 in n
8.132 * [backup-simplify]: Simplify 2 into 2
8.132 * [taylor]: Taking taylor expansion of (* n PI) in n
8.132 * [taylor]: Taking taylor expansion of n in n
8.132 * [backup-simplify]: Simplify 0 into 0
8.132 * [backup-simplify]: Simplify 1 into 1
8.132 * [taylor]: Taking taylor expansion of PI in n
8.132 * [backup-simplify]: Simplify PI into PI
8.132 * [backup-simplify]: Simplify (* 0 PI) into 0
8.133 * [backup-simplify]: Simplify (* 2 0) into 0
8.134 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.135 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.135 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.135 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
8.135 * [taylor]: Taking taylor expansion of (* n PI) in n
8.135 * [taylor]: Taking taylor expansion of n in n
8.135 * [backup-simplify]: Simplify 0 into 0
8.135 * [backup-simplify]: Simplify 1 into 1
8.135 * [taylor]: Taking taylor expansion of PI in n
8.135 * [backup-simplify]: Simplify PI into PI
8.136 * [backup-simplify]: Simplify (* 0 PI) into 0
8.137 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.137 * [backup-simplify]: Simplify (sqrt 0) into 0
8.138 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
8.138 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
8.138 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
8.138 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
8.138 * [taylor]: Taking taylor expansion of +nan.0 in n
8.138 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.138 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
8.138 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
8.138 * [taylor]: Taking taylor expansion of (sqrt 2) in n
8.138 * [taylor]: Taking taylor expansion of 2 in n
8.138 * [backup-simplify]: Simplify 2 into 2
8.138 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.139 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
8.139 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
8.139 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.139 * [taylor]: Taking taylor expansion of 2 in n
8.139 * [backup-simplify]: Simplify 2 into 2
8.139 * [taylor]: Taking taylor expansion of (* n PI) in n
8.139 * [taylor]: Taking taylor expansion of n in n
8.139 * [backup-simplify]: Simplify 0 into 0
8.139 * [backup-simplify]: Simplify 1 into 1
8.139 * [taylor]: Taking taylor expansion of PI in n
8.139 * [backup-simplify]: Simplify PI into PI
8.139 * [backup-simplify]: Simplify (* 0 PI) into 0
8.139 * [backup-simplify]: Simplify (* 2 0) into 0
8.140 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.141 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.142 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.143 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.143 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
8.143 * [taylor]: Taking taylor expansion of (* n PI) in n
8.143 * [taylor]: Taking taylor expansion of n in n
8.143 * [backup-simplify]: Simplify 0 into 0
8.143 * [backup-simplify]: Simplify 1 into 1
8.143 * [taylor]: Taking taylor expansion of PI in n
8.143 * [backup-simplify]: Simplify PI into PI
8.143 * [backup-simplify]: Simplify (* 0 PI) into 0
8.144 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.145 * [backup-simplify]: Simplify (sqrt 0) into 0
8.146 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
8.146 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
8.146 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
8.146 * [taylor]: Taking taylor expansion of +nan.0 in n
8.146 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.146 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
8.146 * [taylor]: Taking taylor expansion of (sqrt 2) in n
8.146 * [taylor]: Taking taylor expansion of 2 in n
8.146 * [backup-simplify]: Simplify 2 into 2
8.146 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.146 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
8.146 * [taylor]: Taking taylor expansion of (* n PI) in n
8.146 * [taylor]: Taking taylor expansion of n in n
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 1 into 1
8.146 * [taylor]: Taking taylor expansion of PI in n
8.146 * [backup-simplify]: Simplify PI into PI
8.147 * [backup-simplify]: Simplify (* 0 PI) into 0
8.148 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.148 * [backup-simplify]: Simplify (sqrt 0) into 0
8.149 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
8.150 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.151 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
8.152 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
8.152 * [backup-simplify]: Simplify (* +nan.0 0) into 0
8.153 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.154 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.157 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
8.158 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
8.159 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
8.160 * [backup-simplify]: Simplify (* +nan.0 0) into 0
8.160 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
8.161 * [backup-simplify]: Simplify (* +nan.0 0) into 0
8.161 * [backup-simplify]: Simplify (- 0) into 0
8.161 * [backup-simplify]: Simplify (+ 0 0) into 0
8.162 * [backup-simplify]: Simplify (- 0) into 0
8.162 * [backup-simplify]: Simplify (+ 0 0) into 0
8.162 * [backup-simplify]: Simplify (- 0) into 0
8.163 * [backup-simplify]: Simplify 0 into 0
8.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
8.164 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
8.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
8.168 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.169 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
8.172 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
8.178 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
8.183 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
8.187 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
8.189 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
8.195 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
8.200 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
8.204 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
8.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
8.208 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
8.209 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
8.212 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
8.222 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
8.227 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
8.230 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
8.239 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
8.240 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
8.240 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0
8.240 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
8.240 * [taylor]: Taking taylor expansion of (sqrt k) in n
8.240 * [taylor]: Taking taylor expansion of k in n
8.240 * [backup-simplify]: Simplify k into k
8.240 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
8.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
8.240 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
8.240 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
8.240 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
8.240 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
8.240 * [taylor]: Taking taylor expansion of 1/2 in n
8.240 * [backup-simplify]: Simplify 1/2 into 1/2
8.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.240 * [taylor]: Taking taylor expansion of 1/2 in n
8.240 * [backup-simplify]: Simplify 1/2 into 1/2
8.240 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.240 * [taylor]: Taking taylor expansion of k in n
8.240 * [backup-simplify]: Simplify k into k
8.240 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.240 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.240 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.240 * [taylor]: Taking taylor expansion of 2 in n
8.240 * [backup-simplify]: Simplify 2 into 2
8.240 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.240 * [taylor]: Taking taylor expansion of PI in n
8.240 * [backup-simplify]: Simplify PI into PI
8.240 * [taylor]: Taking taylor expansion of n in n
8.240 * [backup-simplify]: Simplify 0 into 0
8.240 * [backup-simplify]: Simplify 1 into 1
8.241 * [backup-simplify]: Simplify (/ PI 1) into PI
8.241 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.242 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.242 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.242 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
8.242 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
8.243 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.244 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
8.244 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
8.244 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
8.244 * [taylor]: Taking taylor expansion of (sqrt k) in k
8.245 * [taylor]: Taking taylor expansion of k in k
8.245 * [backup-simplify]: Simplify 0 into 0
8.245 * [backup-simplify]: Simplify 1 into 1
8.245 * [backup-simplify]: Simplify (sqrt 0) into 0
8.246 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.246 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
8.246 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
8.246 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
8.246 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
8.246 * [taylor]: Taking taylor expansion of 1/2 in k
8.246 * [backup-simplify]: Simplify 1/2 into 1/2
8.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.246 * [taylor]: Taking taylor expansion of 1/2 in k
8.246 * [backup-simplify]: Simplify 1/2 into 1/2
8.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.246 * [taylor]: Taking taylor expansion of k in k
8.246 * [backup-simplify]: Simplify 0 into 0
8.246 * [backup-simplify]: Simplify 1 into 1
8.246 * [backup-simplify]: Simplify (/ 1 1) into 1
8.246 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
8.246 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
8.246 * [taylor]: Taking taylor expansion of 2 in k
8.246 * [backup-simplify]: Simplify 2 into 2
8.246 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.246 * [taylor]: Taking taylor expansion of PI in k
8.246 * [backup-simplify]: Simplify PI into PI
8.246 * [taylor]: Taking taylor expansion of n in k
8.246 * [backup-simplify]: Simplify n into n
8.246 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.246 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
8.246 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
8.247 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.247 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.247 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.247 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
8.248 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
8.248 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
8.248 * [taylor]: Taking taylor expansion of (sqrt k) in k
8.248 * [taylor]: Taking taylor expansion of k in k
8.248 * [backup-simplify]: Simplify 0 into 0
8.248 * [backup-simplify]: Simplify 1 into 1
8.248 * [backup-simplify]: Simplify (sqrt 0) into 0
8.249 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.249 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
8.249 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
8.249 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
8.249 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
8.249 * [taylor]: Taking taylor expansion of 1/2 in k
8.249 * [backup-simplify]: Simplify 1/2 into 1/2
8.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.249 * [taylor]: Taking taylor expansion of 1/2 in k
8.249 * [backup-simplify]: Simplify 1/2 into 1/2
8.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.249 * [taylor]: Taking taylor expansion of k in k
8.249 * [backup-simplify]: Simplify 0 into 0
8.249 * [backup-simplify]: Simplify 1 into 1
8.249 * [backup-simplify]: Simplify (/ 1 1) into 1
8.249 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
8.249 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
8.249 * [taylor]: Taking taylor expansion of 2 in k
8.249 * [backup-simplify]: Simplify 2 into 2
8.249 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.249 * [taylor]: Taking taylor expansion of PI in k
8.249 * [backup-simplify]: Simplify PI into PI
8.249 * [taylor]: Taking taylor expansion of n in k
8.249 * [backup-simplify]: Simplify n into n
8.249 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.249 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
8.249 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
8.250 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.250 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.250 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.250 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
8.250 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
8.251 * [backup-simplify]: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0
8.251 * [taylor]: Taking taylor expansion of 0 in n
8.251 * [backup-simplify]: Simplify 0 into 0
8.251 * [backup-simplify]: Simplify 0 into 0
8.251 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
8.251 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
8.251 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
8.251 * [taylor]: Taking taylor expansion of +nan.0 in n
8.251 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.251 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
8.251 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
8.251 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
8.251 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
8.251 * [taylor]: Taking taylor expansion of 1/2 in n
8.251 * [backup-simplify]: Simplify 1/2 into 1/2
8.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.251 * [taylor]: Taking taylor expansion of 1/2 in n
8.251 * [backup-simplify]: Simplify 1/2 into 1/2
8.251 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.251 * [taylor]: Taking taylor expansion of k in n
8.251 * [backup-simplify]: Simplify k into k
8.251 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.251 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.251 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.251 * [taylor]: Taking taylor expansion of 2 in n
8.251 * [backup-simplify]: Simplify 2 into 2
8.251 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.251 * [taylor]: Taking taylor expansion of PI in n
8.251 * [backup-simplify]: Simplify PI into PI
8.251 * [taylor]: Taking taylor expansion of n in n
8.252 * [backup-simplify]: Simplify 0 into 0
8.252 * [backup-simplify]: Simplify 1 into 1
8.252 * [backup-simplify]: Simplify (/ PI 1) into PI
8.252 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.253 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.253 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.253 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
8.253 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
8.254 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.255 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
8.255 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
8.256 * [backup-simplify]: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
8.257 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
8.258 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
8.258 * [backup-simplify]: Simplify 0 into 0
8.260 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
8.260 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
8.260 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
8.260 * [taylor]: Taking taylor expansion of +nan.0 in n
8.260 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.260 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
8.260 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
8.260 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
8.260 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
8.260 * [taylor]: Taking taylor expansion of 1/2 in n
8.260 * [backup-simplify]: Simplify 1/2 into 1/2
8.260 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.260 * [taylor]: Taking taylor expansion of 1/2 in n
8.260 * [backup-simplify]: Simplify 1/2 into 1/2
8.260 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.260 * [taylor]: Taking taylor expansion of k in n
8.261 * [backup-simplify]: Simplify k into k
8.261 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.261 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.261 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.261 * [taylor]: Taking taylor expansion of 2 in n
8.261 * [backup-simplify]: Simplify 2 into 2
8.261 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.261 * [taylor]: Taking taylor expansion of PI in n
8.261 * [backup-simplify]: Simplify PI into PI
8.261 * [taylor]: Taking taylor expansion of n in n
8.261 * [backup-simplify]: Simplify 0 into 0
8.261 * [backup-simplify]: Simplify 1 into 1
8.261 * [backup-simplify]: Simplify (/ PI 1) into PI
8.261 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.262 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.262 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.262 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
8.262 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
8.263 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.264 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
8.265 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
8.265 * [backup-simplify]: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
8.266 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
8.267 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
8.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.268 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
8.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
8.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
8.272 * [backup-simplify]: Simplify (- 0) into 0
8.272 * [backup-simplify]: Simplify (+ 0 0) into 0
8.274 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.275 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
8.277 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.279 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
8.279 * [backup-simplify]: Simplify (- 0) into 0
8.280 * [backup-simplify]: Simplify 0 into 0
8.280 * [backup-simplify]: Simplify 0 into 0
8.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
8.286 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
8.286 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
8.286 * [taylor]: Taking taylor expansion of +nan.0 in n
8.286 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.286 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
8.286 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
8.286 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
8.286 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
8.287 * [taylor]: Taking taylor expansion of 1/2 in n
8.287 * [backup-simplify]: Simplify 1/2 into 1/2
8.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.287 * [taylor]: Taking taylor expansion of 1/2 in n
8.287 * [backup-simplify]: Simplify 1/2 into 1/2
8.287 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.287 * [taylor]: Taking taylor expansion of k in n
8.287 * [backup-simplify]: Simplify k into k
8.287 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.287 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.287 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.287 * [taylor]: Taking taylor expansion of 2 in n
8.287 * [backup-simplify]: Simplify 2 into 2
8.287 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.287 * [taylor]: Taking taylor expansion of PI in n
8.287 * [backup-simplify]: Simplify PI into PI
8.287 * [taylor]: Taking taylor expansion of n in n
8.287 * [backup-simplify]: Simplify 0 into 0
8.287 * [backup-simplify]: Simplify 1 into 1
8.287 * [backup-simplify]: Simplify (/ PI 1) into PI
8.287 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.288 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.288 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.288 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
8.288 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
8.289 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.290 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
8.291 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
8.291 * [backup-simplify]: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
8.292 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
8.293 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
8.296 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
8.296 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
8.296 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
8.296 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
8.296 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
8.296 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
8.296 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
8.296 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
8.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.296 * [taylor]: Taking taylor expansion of 1/2 in n
8.296 * [backup-simplify]: Simplify 1/2 into 1/2
8.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.296 * [taylor]: Taking taylor expansion of k in n
8.296 * [backup-simplify]: Simplify k into k
8.296 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.296 * [taylor]: Taking taylor expansion of 1/2 in n
8.296 * [backup-simplify]: Simplify 1/2 into 1/2
8.296 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.296 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.296 * [taylor]: Taking taylor expansion of -2 in n
8.296 * [backup-simplify]: Simplify -2 into -2
8.296 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.296 * [taylor]: Taking taylor expansion of PI in n
8.296 * [backup-simplify]: Simplify PI into PI
8.296 * [taylor]: Taking taylor expansion of n in n
8.296 * [backup-simplify]: Simplify 0 into 0
8.296 * [backup-simplify]: Simplify 1 into 1
8.297 * [backup-simplify]: Simplify (/ PI 1) into PI
8.297 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.298 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.298 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.298 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
8.299 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.300 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
8.300 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
8.300 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
8.300 * [taylor]: Taking taylor expansion of (/ -1 k) in n
8.300 * [taylor]: Taking taylor expansion of -1 in n
8.300 * [backup-simplify]: Simplify -1 into -1
8.300 * [taylor]: Taking taylor expansion of k in n
8.300 * [backup-simplify]: Simplify k into k
8.300 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
8.300 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
8.301 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
8.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
8.301 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
8.301 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
8.301 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
8.301 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
8.301 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
8.302 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
8.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.302 * [taylor]: Taking taylor expansion of 1/2 in k
8.302 * [backup-simplify]: Simplify 1/2 into 1/2
8.302 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.302 * [taylor]: Taking taylor expansion of k in k
8.302 * [backup-simplify]: Simplify 0 into 0
8.302 * [backup-simplify]: Simplify 1 into 1
8.302 * [backup-simplify]: Simplify (/ 1 1) into 1
8.302 * [taylor]: Taking taylor expansion of 1/2 in k
8.302 * [backup-simplify]: Simplify 1/2 into 1/2
8.302 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
8.302 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
8.302 * [taylor]: Taking taylor expansion of -2 in k
8.302 * [backup-simplify]: Simplify -2 into -2
8.302 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.302 * [taylor]: Taking taylor expansion of PI in k
8.302 * [backup-simplify]: Simplify PI into PI
8.302 * [taylor]: Taking taylor expansion of n in k
8.302 * [backup-simplify]: Simplify n into n
8.302 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.302 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
8.302 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
8.302 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.303 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.303 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
8.303 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
8.303 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
8.303 * [taylor]: Taking taylor expansion of (/ -1 k) in k
8.303 * [taylor]: Taking taylor expansion of -1 in k
8.303 * [backup-simplify]: Simplify -1 into -1
8.303 * [taylor]: Taking taylor expansion of k in k
8.303 * [backup-simplify]: Simplify 0 into 0
8.303 * [backup-simplify]: Simplify 1 into 1
8.303 * [backup-simplify]: Simplify (/ -1 1) into -1
8.304 * [backup-simplify]: Simplify (sqrt 0) into 0
8.304 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.305 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
8.305 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
8.305 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
8.305 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
8.305 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
8.305 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
8.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.305 * [taylor]: Taking taylor expansion of 1/2 in k
8.305 * [backup-simplify]: Simplify 1/2 into 1/2
8.305 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.305 * [taylor]: Taking taylor expansion of k in k
8.305 * [backup-simplify]: Simplify 0 into 0
8.305 * [backup-simplify]: Simplify 1 into 1
8.305 * [backup-simplify]: Simplify (/ 1 1) into 1
8.305 * [taylor]: Taking taylor expansion of 1/2 in k
8.305 * [backup-simplify]: Simplify 1/2 into 1/2
8.305 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
8.305 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
8.305 * [taylor]: Taking taylor expansion of -2 in k
8.305 * [backup-simplify]: Simplify -2 into -2
8.305 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.305 * [taylor]: Taking taylor expansion of PI in k
8.305 * [backup-simplify]: Simplify PI into PI
8.305 * [taylor]: Taking taylor expansion of n in k
8.305 * [backup-simplify]: Simplify n into n
8.305 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.305 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
8.305 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
8.306 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.306 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.306 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
8.306 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
8.306 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
8.306 * [taylor]: Taking taylor expansion of (/ -1 k) in k
8.306 * [taylor]: Taking taylor expansion of -1 in k
8.306 * [backup-simplify]: Simplify -1 into -1
8.306 * [taylor]: Taking taylor expansion of k in k
8.306 * [backup-simplify]: Simplify 0 into 0
8.306 * [backup-simplify]: Simplify 1 into 1
8.306 * [backup-simplify]: Simplify (/ -1 1) into -1
8.307 * [backup-simplify]: Simplify (sqrt 0) into 0
8.308 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.308 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
8.308 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
8.308 * [taylor]: Taking taylor expansion of +nan.0 in n
8.308 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.308 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
8.308 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
8.308 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.308 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.308 * [taylor]: Taking taylor expansion of -2 in n
8.308 * [backup-simplify]: Simplify -2 into -2
8.308 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.308 * [taylor]: Taking taylor expansion of PI in n
8.308 * [backup-simplify]: Simplify PI into PI
8.308 * [taylor]: Taking taylor expansion of n in n
8.308 * [backup-simplify]: Simplify 0 into 0
8.308 * [backup-simplify]: Simplify 1 into 1
8.308 * [backup-simplify]: Simplify (/ PI 1) into PI
8.309 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.310 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.310 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
8.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.310 * [taylor]: Taking taylor expansion of 1/2 in n
8.310 * [backup-simplify]: Simplify 1/2 into 1/2
8.310 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.310 * [taylor]: Taking taylor expansion of k in n
8.310 * [backup-simplify]: Simplify k into k
8.310 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.310 * [taylor]: Taking taylor expansion of 1/2 in n
8.310 * [backup-simplify]: Simplify 1/2 into 1/2
8.312 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.312 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.312 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
8.313 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
8.314 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
8.316 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
8.317 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
8.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.321 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.322 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
8.322 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
8.322 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
8.322 * [taylor]: Taking taylor expansion of +nan.0 in n
8.322 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.322 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
8.322 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
8.322 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.322 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.322 * [taylor]: Taking taylor expansion of -2 in n
8.322 * [backup-simplify]: Simplify -2 into -2
8.322 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.322 * [taylor]: Taking taylor expansion of PI in n
8.322 * [backup-simplify]: Simplify PI into PI
8.322 * [taylor]: Taking taylor expansion of n in n
8.322 * [backup-simplify]: Simplify 0 into 0
8.322 * [backup-simplify]: Simplify 1 into 1
8.323 * [backup-simplify]: Simplify (/ PI 1) into PI
8.323 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.325 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.325 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
8.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.325 * [taylor]: Taking taylor expansion of 1/2 in n
8.325 * [backup-simplify]: Simplify 1/2 into 1/2
8.325 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.325 * [taylor]: Taking taylor expansion of k in n
8.325 * [backup-simplify]: Simplify k into k
8.325 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.325 * [taylor]: Taking taylor expansion of 1/2 in n
8.325 * [backup-simplify]: Simplify 1/2 into 1/2
8.326 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.327 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.327 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
8.328 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
8.329 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
8.330 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
8.332 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
8.333 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
8.334 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
8.335 * [backup-simplify]: Simplify (+ 0 0) into 0
8.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.336 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
8.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
8.338 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
8.339 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.340 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
8.340 * [backup-simplify]: Simplify 0 into 0
8.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.344 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
8.344 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
8.344 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
8.344 * [taylor]: Taking taylor expansion of +nan.0 in n
8.344 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.344 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
8.344 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
8.344 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.344 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.344 * [taylor]: Taking taylor expansion of -2 in n
8.344 * [backup-simplify]: Simplify -2 into -2
8.344 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.344 * [taylor]: Taking taylor expansion of PI in n
8.344 * [backup-simplify]: Simplify PI into PI
8.344 * [taylor]: Taking taylor expansion of n in n
8.344 * [backup-simplify]: Simplify 0 into 0
8.344 * [backup-simplify]: Simplify 1 into 1
8.345 * [backup-simplify]: Simplify (/ PI 1) into PI
8.345 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.345 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.345 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
8.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.346 * [taylor]: Taking taylor expansion of 1/2 in n
8.346 * [backup-simplify]: Simplify 1/2 into 1/2
8.346 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.346 * [taylor]: Taking taylor expansion of k in n
8.346 * [backup-simplify]: Simplify k into k
8.346 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.346 * [taylor]: Taking taylor expansion of 1/2 in n
8.346 * [backup-simplify]: Simplify 1/2 into 1/2
8.347 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.347 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.347 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
8.348 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
8.348 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
8.349 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
8.350 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
8.351 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
8.353 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
8.354 * * * [progress]: simplifying candidates
8.354 * * * * [progress]: [ 1 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))))))>
8.354 * * * * [progress]: [ 2 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))))))>
8.354 * * * * [progress]: [ 3 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
8.354 * * * * [progress]: [ 4 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
8.354 * * * * [progress]: [ 5 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))>
8.354 * * * * [progress]: [ 6 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))>
8.354 * * * * [progress]: [ 7 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))>
8.354 * * * * [progress]: [ 8 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))))))>
8.354 * * * * [progress]: [ 9 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))>
8.354 * * * * [progress]: [ 10 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
8.354 * * * * [progress]: [ 11 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
8.354 * * * * [progress]: [ 12 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))))>
8.354 * * * * [progress]: [ 13 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))))))>
8.354 * * * * [progress]: [ 14 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
8.354 * * * * [progress]: [ 15 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.354 * * * * [progress]: [ 16 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.354 * * * * [progress]: [ 17 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
8.354 * * * * [progress]: [ 18 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1))))>
8.354 * * * * [progress]: [ 19 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.354 * * * * [progress]: [ 20 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.354 * * * * [progress]: [ 21 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.354 * * * * [progress]: [ 22 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (cbrt (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.355 * * * * [progress]: [ 23 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.355 * * * * [progress]: [ 24 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
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8.355 * * * * [progress]: [ 26 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.355 * * * * [progress]: [ 27 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
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8.355 * * * * [progress]: [ 30 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2))))))>
8.355 * * * * [progress]: [ 31 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2))))))>
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8.355 * * * * [progress]: [ 33 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
8.355 * * * * [progress]: [ 34 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))))))>
8.355 * * * * [progress]: [ 35 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))))))>
8.355 * * * * [progress]: [ 36 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
8.355 * * * * [progress]: [ 37 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
8.355 * * * * [progress]: [ 38 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
8.355 * * * * [progress]: [ 39 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))))))>
8.355 * * * * [progress]: [ 40 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (* n 2) (* (cbrt PI) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))))))>
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8.355 * * * * [progress]: [ 43 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
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8.355 * * * * [progress]: [ 45 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
8.355 * * * * [progress]: [ 46 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
8.355 * * * * [progress]: [ 47 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))))))>
8.356 * * * * [progress]: [ 48 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))))))>
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8.356 * * * * [progress]: [ 52 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.356 * * * * [progress]: [ 53 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.356 * * * * [progress]: [ 54 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.356 * * * * [progress]: [ 55 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.356 * * * * [progress]: [ 56 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.356 * * * * [progress]: [ 57 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.356 * * * * [progress]: [ 58 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.356 * * * * [progress]: [ 59 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.356 * * * * [progress]: [ 60 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.356 * * * * [progress]: [ 61 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
8.356 * * * * [progress]: [ 62 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.356 * * * * [progress]: [ 63 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.356 * * * * [progress]: [ 64 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.356 * * * * [progress]: [ 65 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.356 * * * * [progress]: [ 66 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2)) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.356 * * * * [progress]: [ 67 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2)) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
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8.356 * * * * [progress]: [ 69 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
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8.356 * * * * [progress]: [ 71 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.357 * * * * [progress]: [ 72 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.357 * * * * [progress]: [ 73 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
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8.357 * * * * [progress]: [ 76 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.357 * * * * [progress]: [ 77 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.357 * * * * [progress]: [ 78 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.357 * * * * [progress]: [ 79 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.357 * * * * [progress]: [ 80 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* (* n 2) PI) 1/2)) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.357 * * * * [progress]: [ 81 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* (* n 2) PI) 1/2)) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.357 * * * * [progress]: [ 82 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
8.357 * * * * [progress]: [ 83 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
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8.357 * * * * [progress]: [ 91 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
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8.357 * * * * [progress]: [ 94 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* (* n 2) PI) 1/2)) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
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8.358 * * * * [progress]: [ 96 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
8.358 * * * * [progress]: [ 97 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.358 * * * * [progress]: [ 98 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
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8.358 * * * * [progress]: [ 109 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
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8.358 * * * * [progress]: [ 111 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
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8.359 * * * * [progress]: [ 131 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
8.359 * * * * [progress]: [ 132 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.359 * * * * [progress]: [ 133 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.359 * * * * [progress]: [ 134 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))))))>
8.359 * * * * [progress]: [ 135 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))))))>
8.359 * * * * [progress]: [ 136 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
8.359 * * * * [progress]: [ 137 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
8.359 * * * * [progress]: [ 138 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.359 * * * * [progress]: [ 139 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.359 * * * * [progress]: [ 140 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.359 * * * * [progress]: [ 141 / 355 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.359 * * * * [progress]: [ 142 / 355 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.359 * * * * [progress]: [ 143 / 355 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.359 * * * * [progress]: [ 144 / 355 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.360 * * * * [progress]: [ 145 / 355 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.360 * * * * [progress]: [ 146 / 355 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.360 * * * * [progress]: [ 147 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.360 * * * * [progress]: [ 148 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.360 * * * * [progress]: [ 149 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.360 * * * * [progress]: [ 150 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.360 * * * * [progress]: [ 151 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.360 * * * * [progress]: [ 152 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
8.360 * * * * [progress]: [ 153 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.360 * * * * [progress]: [ 154 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.360 * * * * [progress]: [ 155 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.360 * * * * [progress]: [ 156 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.360 * * * * [progress]: [ 157 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.360 * * * * [progress]: [ 158 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.360 * * * * [progress]: [ 159 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
8.360 * * * * [progress]: [ 160 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.360 * * * * [progress]: [ 161 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.360 * * * * [progress]: [ 162 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.360 * * * * [progress]: [ 163 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.360 * * * * [progress]: [ 164 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.360 * * * * [progress]: [ 165 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.361 * * * * [progress]: [ 166 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
8.361 * * * * [progress]: [ 167 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.361 * * * * [progress]: [ 168 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.361 * * * * [progress]: [ 169 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.361 * * * * [progress]: [ 170 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.361 * * * * [progress]: [ 171 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* (* n 2) PI) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.361 * * * * [progress]: [ 172 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* (* n 2) PI) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.361 * * * * [progress]: [ 173 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
8.361 * * * * [progress]: [ 174 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.361 * * * * [progress]: [ 175 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.361 * * * * [progress]: [ 176 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.361 * * * * [progress]: [ 177 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.361 * * * * [progress]: [ 178 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.361 * * * * [progress]: [ 179 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.361 * * * * [progress]: [ 180 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
8.361 * * * * [progress]: [ 181 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.361 * * * * [progress]: [ 182 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.361 * * * * [progress]: [ 183 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.361 * * * * [progress]: [ 184 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.361 * * * * [progress]: [ 185 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.361 * * * * [progress]: [ 186 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.362 * * * * [progress]: [ 187 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
8.362 * * * * [progress]: [ 188 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.362 * * * * [progress]: [ 189 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.362 * * * * [progress]: [ 190 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.362 * * * * [progress]: [ 191 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.362 * * * * [progress]: [ 192 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.362 * * * * [progress]: [ 193 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.362 * * * * [progress]: [ 194 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (/ (cbrt 1) (pow (* (* n 2) PI) (/ k 2)))))>
8.362 * * * * [progress]: [ 195 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.362 * * * * [progress]: [ 196 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.362 * * * * [progress]: [ 197 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.362 * * * * [progress]: [ 198 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.362 * * * * [progress]: [ 199 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
8.362 * * * * [progress]: [ 200 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.362 * * * * [progress]: [ 201 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.362 * * * * [progress]: [ 202 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.362 * * * * [progress]: [ 203 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.362 * * * * [progress]: [ 204 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.362 * * * * [progress]: [ 205 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.362 * * * * [progress]: [ 206 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
8.362 * * * * [progress]: [ 207 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.362 * * * * [progress]: [ 208 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.362 * * * * [progress]: [ 209 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.363 * * * * [progress]: [ 210 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.363 * * * * [progress]: [ 211 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.363 * * * * [progress]: [ 212 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.363 * * * * [progress]: [ 213 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
8.363 * * * * [progress]: [ 214 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.363 * * * * [progress]: [ 215 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.363 * * * * [progress]: [ 216 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.363 * * * * [progress]: [ 217 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.363 * * * * [progress]: [ 218 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* (* n 2) PI) 1/2))) (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.363 * * * * [progress]: [ 219 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* (* n 2) PI) 1/2))) (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.363 * * * * [progress]: [ 220 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
8.363 * * * * [progress]: [ 221 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.363 * * * * [progress]: [ 222 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.363 * * * * [progress]: [ 223 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.363 * * * * [progress]: [ 224 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.363 * * * * [progress]: [ 225 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.363 * * * * [progress]: [ 226 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.363 * * * * [progress]: [ 227 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
8.363 * * * * [progress]: [ 228 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.363 * * * * [progress]: [ 229 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.363 * * * * [progress]: [ 230 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.363 * * * * [progress]: [ 231 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.363 * * * * [progress]: [ 232 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.364 * * * * [progress]: [ 233 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.364 * * * * [progress]: [ 234 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
8.364 * * * * [progress]: [ 235 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.364 * * * * [progress]: [ 236 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.364 * * * * [progress]: [ 237 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.364 * * * * [progress]: [ 238 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.364 * * * * [progress]: [ 239 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.364 * * * * [progress]: [ 240 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.364 * * * * [progress]: [ 241 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (/ (sqrt 1) (pow (* (* n 2) PI) (/ k 2)))))>
8.364 * * * * [progress]: [ 242 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ 1 (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.364 * * * * [progress]: [ 243 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.364 * * * * [progress]: [ 244 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ 1 (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.364 * * * * [progress]: [ 245 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ 1 (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.364 * * * * [progress]: [ 246 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
8.364 * * * * [progress]: [ 247 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.364 * * * * [progress]: [ 248 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.364 * * * * [progress]: [ 249 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ 1 (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.364 * * * * [progress]: [ 250 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.364 * * * * [progress]: [ 251 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2))) (/ 1 (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.364 * * * * [progress]: [ 252 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2))) (/ 1 (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.364 * * * * [progress]: [ 253 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
8.364 * * * * [progress]: [ 254 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.364 * * * * [progress]: [ 255 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.365 * * * * [progress]: [ 256 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ 1 (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.365 * * * * [progress]: [ 257 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.365 * * * * [progress]: [ 258 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.365 * * * * [progress]: [ 259 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.365 * * * * [progress]: [ 260 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
8.365 * * * * [progress]: [ 261 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.365 * * * * [progress]: [ 262 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.365 * * * * [progress]: [ 263 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.365 * * * * [progress]: [ 264 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.365 * * * * [progress]: [ 265 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* (* n 2) PI) 1/2))) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.365 * * * * [progress]: [ 266 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* (* n 2) PI) 1/2))) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.365 * * * * [progress]: [ 267 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
8.365 * * * * [progress]: [ 268 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.366 * * * * [progress]: [ 269 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.366 * * * * [progress]: [ 270 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.366 * * * * [progress]: [ 271 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.366 * * * * [progress]: [ 272 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.366 * * * * [progress]: [ 273 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.366 * * * * [progress]: [ 274 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
8.366 * * * * [progress]: [ 275 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.366 * * * * [progress]: [ 276 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.366 * * * * [progress]: [ 277 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.366 * * * * [progress]: [ 278 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.366 * * * * [progress]: [ 279 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.366 * * * * [progress]: [ 280 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
8.366 * * * * [progress]: [ 281 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
8.366 * * * * [progress]: [ 282 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.367 * * * * [progress]: [ 283 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.367 * * * * [progress]: [ 284 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.367 * * * * [progress]: [ 285 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
8.367 * * * * [progress]: [ 286 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.367 * * * * [progress]: [ 287 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.367 * * * * [progress]: [ 288 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (/ 1 (pow (* (* n 2) PI) (/ k 2)))))>
8.367 * * * * [progress]: [ 289 / 355 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.367 * * * * [progress]: [ 290 / 355 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.367 * * * * [progress]: [ 291 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
8.367 * * * * [progress]: [ 292 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.367 * * * * [progress]: [ 293 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.367 * * * * [progress]: [ 294 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
8.367 * * * * [progress]: [ 295 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
8.367 * * * * [progress]: [ 296 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
8.368 * * * * [progress]: [ 297 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.368 * * * * [progress]: [ 298 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.368 * * * * [progress]: [ 299 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
8.368 * * * * [progress]: [ 300 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))))>
8.368 * * * * [progress]: [ 301 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
8.368 * * * * [progress]: [ 302 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
8.368 * * * * [progress]: [ 303 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))))>
8.368 * * * * [progress]: [ 304 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.368 * * * * [progress]: [ 305 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.368 * * * * [progress]: [ 306 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
8.368 * * * * [progress]: [ 307 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))))>
8.368 * * * * [progress]: [ 308 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
8.368 * * * * [progress]: [ 309 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
8.368 * * * * [progress]: [ 310 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
8.369 * * * * [progress]: [ 311 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.369 * * * * [progress]: [ 312 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.369 * * * * [progress]: [ 313 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
8.369 * * * * [progress]: [ 314 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))))>
8.369 * * * * [progress]: [ 315 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
8.369 * * * * [progress]: [ 316 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
8.369 * * * * [progress]: [ 317 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
8.369 * * * * [progress]: [ 318 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.369 * * * * [progress]: [ 319 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.369 * * * * [progress]: [ 320 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
8.369 * * * * [progress]: [ 321 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))))>
8.369 * * * * [progress]: [ 322 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
8.369 * * * * [progress]: [ 323 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
8.370 * * * * [progress]: [ 324 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
8.370 * * * * [progress]: [ 325 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.370 * * * * [progress]: [ 326 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.370 * * * * [progress]: [ 327 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
8.370 * * * * [progress]: [ 328 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))))>
8.370 * * * * [progress]: [ 329 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
8.370 * * * * [progress]: [ 330 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
8.370 * * * * [progress]: [ 331 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
8.370 * * * * [progress]: [ 332 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.370 * * * * [progress]: [ 333 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
8.370 * * * * [progress]: [ 334 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
8.370 * * * * [progress]: [ 335 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))))>
8.370 * * * * [progress]: [ 336 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
8.370 * * * * [progress]: [ 337 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
8.371 * * * * [progress]: [ 338 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))>
8.371 * * * * [progress]: [ 339 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt 1))))>
8.371 * * * * [progress]: [ 340 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt 1) (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1))))>
8.371 * * * * [progress]: [ 341 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
8.371 * * * * [progress]: [ 342 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
8.371 * * * * [progress]: [ 343 / 355 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
8.371 * * * * [progress]: [ 344 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))))))>
8.371 * * * * [progress]: [ 345 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
8.371 * * * * [progress]: [ 346 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
8.371 * * * * [progress]: [ 347 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
8.371 * * * * [progress]: [ 348 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
8.371 * * * * [progress]: [ 349 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
8.371 * * * * [progress]: [ 350 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
8.371 * * * * [progress]: [ 351 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))))>
8.372 * * * * [progress]: [ 352 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))))>
8.372 * * * * [progress]: [ 353 / 355 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
8.372 * * * * [progress]: [ 354 / 355 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
8.372 * * * * [progress]: [ 355 / 355 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
8.379 * [simplify]: Simplifying:
  (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (/ k 2))
  (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (+ (log n) (log 2)) (log PI))
  (+ (log (* n 2)) (log PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))
  (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (* n 2) (* (cbrt PI) (cbrt PI)))
  (* (* n 2) (sqrt PI))
  (* (* n 2) 1)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (- (log (sqrt k)) (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (exp (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (* (* (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (- (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))
  (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))
  (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
  (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))
  (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2))
  (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2))
  (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt (* (cbrt k) (cbrt k))) 1)
  (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))
  (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))
  (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt 1) (pow (* (* n 2) PI) 1/2))
  (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt 1) (pow (* (* n 2) PI) 1/2))
  (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt 1) (pow (* n 2) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt 1) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) 1)
  (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (sqrt 1) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))
  (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))
  (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
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  (/ (sqrt 1) (/ (sqrt (sqrt k)) 1))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ (sqrt 1) (/ 1 (pow (* (* n 2) PI) 1/2)))
  (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ (sqrt 1) (/ 1 (pow (* (* n 2) PI) 1/2)))
  (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ (sqrt 1) (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ (sqrt 1) (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ (sqrt 1) (/ 1 1))
  (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (/ 1 (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) 1/2)))
  (/ (sqrt 1) (pow (* (* n 2) PI) (/ k 2)))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ 1 (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt 1) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt 1) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt 1) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ 1 (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ 1 1))
  (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 1)
  (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt k))
  (/ 1 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (pow (* (* n 2) PI) (/ k 2)))
  (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt 1) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt 1) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt 1) (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt 1) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt 1) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt 1) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
  (/ 1 (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (/ 1 (/ 1 1))
  (/ 1 (/ 1 (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2)))
  (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt 1))
  (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)
  (/ 1 (sqrt k))
  (real->posit16 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
  (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
  (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
  (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
8.387 * * [simplify]: iteration 0: 536 enodes
8.656 * * [simplify]: iteration 1: 1455 enodes
9.075 * * [simplify]: iteration 2: 2001 enodes
9.479 * * [simplify]: iteration complete: 2001 enodes
9.479 * * [simplify]: Extracting #0: cost 174 inf + 0
9.480 * * [simplify]: Extracting #1: cost 436 inf + 2
9.487 * * [simplify]: Extracting #2: cost 561 inf + 4284
9.497 * * [simplify]: Extracting #3: cost 494 inf + 44677
9.527 * * [simplify]: Extracting #4: cost 267 inf + 128948
9.557 * * [simplify]: Extracting #5: cost 184 inf + 167902
9.587 * * [simplify]: Extracting #6: cost 132 inf + 190951
9.642 * * [simplify]: Extracting #7: cost 62 inf + 217124
9.674 * * [simplify]: Extracting #8: cost 25 inf + 237222
9.725 * * [simplify]: Extracting #9: cost 10 inf + 247432
9.779 * * [simplify]: Extracting #10: cost 6 inf + 248070
9.855 * * [simplify]: Extracting #11: cost 1 inf + 252559
9.902 * * [simplify]: Extracting #12: cost 0 inf + 253825
9.957 * [simplify]: Simplified to:
  (* (log (* PI (* 2 n))) (- 1/2 (/ k 2)))
  (* (log (* PI (* 2 n))) (- 1/2 (/ k 2)))
  (* (log (* PI (* 2 n))) (- 1/2 (/ k 2)))
  (* (log (* PI (* 2 n))) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* PI (* 2 n)))
  (pow (* PI (* 2 n)) (/ k 2))
  (pow (* PI (* 2 n)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* PI (* 2 n)) (sqrt (- 1/2 (/ k 2))))
  (* PI (* 2 n))
  (pow (* PI (* 2 n)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* PI (* 2 n)) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* PI (* 2 n))
  (sqrt (* PI (* 2 n)))
  (pow (* PI (* 2 n)) (/ (- k) 2))
  (sqrt (* PI (* 2 n)))
  (pow (* PI (* 2 n)) (/ (- k) 2))
  (pow (* 2 n) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* PI (* 2 n))))
  (exp (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (pow (pow (* PI (* 2 n)) (- 1/2 (/ k 2))) 3)
  (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))
  (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (* PI (* 2 n))
  (* PI (* 2 n))
  (log (* PI (* 2 n)))
  (log (* PI (* 2 n)))
  (log (* PI (* 2 n)))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* PI PI) PI) (* (* n n) (* n 8)))
  (* (* (* PI PI) PI) (* (* (* n n) 4) (* 2 n)))
  (* (cbrt (* PI (* 2 n))) (cbrt (* PI (* 2 n))))
  (cbrt (* PI (* 2 n)))
  (* (* PI (* 2 n)) (* (* PI (* 2 n)) (* PI (* 2 n))))
  (sqrt (* PI (* 2 n)))
  (sqrt (* PI (* 2 n)))
  (* n (* 2 (* (cbrt PI) (cbrt PI))))
  (* (sqrt PI) (* 2 n))
  (* 2 n)
  (* 2 PI)
  (real->posit16 (* PI (* 2 n)))
  (- (log (sqrt k)) (* (log (* PI (* 2 n))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* PI (* 2 n))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* PI (* 2 n))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* PI (* 2 n))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* PI (* 2 n)))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* PI (* 2 n)))))
  (exp (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ (* (sqrt k) k) (pow (pow (* PI (* 2 n)) (- 1/2 (/ k 2))) 3))
  (* (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (* (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (sqrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (- (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (/ (cbrt (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (/ (cbrt (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
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  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (sqrt (* PI (* 2 n)))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (pow (* 2 n) (- 1/2 (/ k 2)))
  (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  1
  (/ 1 (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  1
  (/ 1 (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt k))
  (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))
  (/ 1 (/ (sqrt k) (sqrt (* PI (* 2 n)))))
  (/ 1 (pow (* PI (* 2 n)) (/ k 2)))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))))
  (/ 1 (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (cbrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (cbrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (/ 1 (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))))
  (* (/ 1 (cbrt (sqrt k))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (* (/ 1 (cbrt (sqrt k))) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (cbrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (fabs (cbrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (cbrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (fabs (cbrt k))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (cbrt k))) (pow PI (- 1/2 (/ k 2))))
  (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (* (/ 1 (sqrt (cbrt k))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (fabs (cbrt k)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (* (/ 1 (fabs (cbrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (* PI (* 2 n)))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (sqrt (* PI (* 2 n)))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (pow (* 2 n) (- 1/2 (/ k 2)))
  (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  1
  (/ 1 (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (* PI (* 2 n)))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (sqrt (* PI (* 2 n)))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (pow (* 2 n) (- 1/2 (/ k 2)))
  (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  1
  (/ 1 (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  1
  (/ 1 (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt k))
  (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))
  (/ 1 (/ (sqrt k) (sqrt (* PI (* 2 n)))))
  (/ 1 (pow (* PI (* 2 n)) (/ k 2)))
  (/ 1 (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (* (/ 1 (fabs (cbrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (fabs (cbrt k))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (fabs (cbrt k)))
  (* (/ 1 (fabs (cbrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (* PI (* 2 n)))
  (sqrt (* PI (* 2 n)))
  (pow (* 2 n) (- 1/2 (/ k 2)))
  (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  1
  (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (* PI (* 2 n)))
  (sqrt (* PI (* 2 n)))
  (pow (* 2 n) (- 1/2 (/ k 2)))
  (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  1
  (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))
  1
  (/ 1 (sqrt k))
  (/ 1 (/ (sqrt k) (sqrt (* PI (* 2 n)))))
  (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (/ 1 (sqrt k))
  (real->posit16 (/ 1 (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (+ (* (* (* (log (* 2 PI)) (exp (* (log (* PI (* 2 n))) 1/2))) (* (log n) (* k k))) 1/4) (- (+ (* (* 1/8 (exp (* (log (* PI (* 2 n))) 1/2))) (* (* k k) (* (log n) (log n)))) (+ (exp (* (log (* PI (* 2 n))) 1/2)) (* (* 1/8 (* (log (* 2 PI)) (log (* 2 PI)))) (* (exp (* (log (* PI (* 2 n))) 1/2)) (* k k))))) (* 1/2 (+ (* (* (exp (* (log (* PI (* 2 n))) 1/2)) (log n)) k) (* (log (* 2 PI)) (* k (exp (* (log (* PI (* 2 n))) 1/2))))))))
  (exp (* (log (* PI (* 2 n))) (- 1/2 (* k 1/2))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* PI (* 2 n))
  (* PI (* 2 n))
  (* PI (* 2 n))
  (+ (* (- (/ (* (* (sqrt 2) (* k k)) (* (log (* 2 PI)) 1/2)) PI)) +nan.0) (- (/ (* +nan.0 (* (sqrt 1/2) (* k k))) PI) (- (* (/ (* (* k (sqrt 1/2)) n) (* PI PI)) +nan.0) (- (* (/ (* (log n) (* (* 1/2 (* k k)) (sqrt 2))) PI) +nan.0) (* (/ (* k (sqrt 1/2)) PI) +nan.0)))))
  (+ (- (/ +nan.0 (* (exp (* (log (* PI (* 2 n))) (- 1/2 (* k 1/2)))) k))) (- (/ +nan.0 (* (* k k) (exp (* (log (* PI (* 2 n))) (- 1/2 (* k 1/2)))))) (/ +nan.0 (exp (* (log (* PI (* 2 n))) (- 1/2 (* k 1/2)))))))
  (+ (- (/ +nan.0 (* (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))) (* k k)))) (- (/ +nan.0 (* k (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))))) (/ +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))))))
  (- (- (* (* +nan.0 (sqrt 2)) (* (* PI n) k)) (- (* (* +nan.0 (sqrt 2)) (* PI n)) (- (* (* +nan.0 (log (* 2 PI))) (* (sqrt 2) (* (* PI n) k))) (- (* +nan.0 (* (sqrt 2) (* (* PI n) (* (log n) k)))) (* (* (* (* PI n) (* PI n)) (sqrt 2)) +nan.0))))))
  (- (- (* +nan.0 (/ (exp (* (log (* PI (* 2 n))) (- 1/2 (* k 1/2)))) (* (* k k) k))) (- (/ (* +nan.0 (exp (* (log (* PI (* 2 n))) (- 1/2 (* k 1/2))))) k) (* +nan.0 (/ (exp (* (log (* PI (* 2 n))) (- 1/2 (* k 1/2)))) (* k k))))))
  (+ (* (- +nan.0) (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (* (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))) (* k k)) +nan.0) (* (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))) +nan.0)))
10.030 * * * [progress]: adding candidates to table
11.492 * * [progress]: iteration 4 / 4
11.492 * * * [progress]: picking best candidate
11.516 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
11.516 * * * [progress]: localizing error
11.568 * * * [progress]: generating rewritten candidates
11.568 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
11.584 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2)
11.593 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
11.608 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
11.640 * * * [progress]: generating series expansions
11.640 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
11.640 * [backup-simplify]: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k)))
11.640 * [approximate]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0
11.640 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
11.640 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
11.640 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
11.641 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.641 * [taylor]: Taking taylor expansion of 1/2 in k
11.641 * [backup-simplify]: Simplify 1/2 into 1/2
11.641 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.641 * [taylor]: Taking taylor expansion of 1/2 in k
11.641 * [backup-simplify]: Simplify 1/2 into 1/2
11.641 * [taylor]: Taking taylor expansion of k in k
11.641 * [backup-simplify]: Simplify 0 into 0
11.641 * [backup-simplify]: Simplify 1 into 1
11.641 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
11.641 * [taylor]: Taking taylor expansion of (* 2 n) in k
11.641 * [taylor]: Taking taylor expansion of 2 in k
11.641 * [backup-simplify]: Simplify 2 into 2
11.641 * [taylor]: Taking taylor expansion of n in k
11.641 * [backup-simplify]: Simplify n into n
11.641 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
11.641 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
11.642 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.642 * [backup-simplify]: Simplify (- 0) into 0
11.643 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.643 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
11.643 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
11.643 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
11.643 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
11.643 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
11.643 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.643 * [taylor]: Taking taylor expansion of 1/2 in n
11.643 * [backup-simplify]: Simplify 1/2 into 1/2
11.643 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.643 * [taylor]: Taking taylor expansion of 1/2 in n
11.643 * [backup-simplify]: Simplify 1/2 into 1/2
11.643 * [taylor]: Taking taylor expansion of k in n
11.643 * [backup-simplify]: Simplify k into k
11.643 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
11.643 * [taylor]: Taking taylor expansion of (* 2 n) in n
11.643 * [taylor]: Taking taylor expansion of 2 in n
11.643 * [backup-simplify]: Simplify 2 into 2
11.643 * [taylor]: Taking taylor expansion of n in n
11.643 * [backup-simplify]: Simplify 0 into 0
11.643 * [backup-simplify]: Simplify 1 into 1
11.644 * [backup-simplify]: Simplify (* 2 0) into 0
11.644 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.645 * [backup-simplify]: Simplify (log 2) into (log 2)
11.645 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.645 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.645 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.646 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.646 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
11.647 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
11.647 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
11.647 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
11.647 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
11.647 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.647 * [taylor]: Taking taylor expansion of 1/2 in n
11.647 * [backup-simplify]: Simplify 1/2 into 1/2
11.647 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.647 * [taylor]: Taking taylor expansion of 1/2 in n
11.647 * [backup-simplify]: Simplify 1/2 into 1/2
11.647 * [taylor]: Taking taylor expansion of k in n
11.647 * [backup-simplify]: Simplify k into k
11.647 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
11.647 * [taylor]: Taking taylor expansion of (* 2 n) in n
11.647 * [taylor]: Taking taylor expansion of 2 in n
11.647 * [backup-simplify]: Simplify 2 into 2
11.647 * [taylor]: Taking taylor expansion of n in n
11.647 * [backup-simplify]: Simplify 0 into 0
11.647 * [backup-simplify]: Simplify 1 into 1
11.647 * [backup-simplify]: Simplify (* 2 0) into 0
11.648 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.648 * [backup-simplify]: Simplify (log 2) into (log 2)
11.648 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.649 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.649 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.649 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.650 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
11.650 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
11.650 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
11.650 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
11.650 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
11.650 * [taylor]: Taking taylor expansion of (log 2) in k
11.650 * [taylor]: Taking taylor expansion of 2 in k
11.651 * [backup-simplify]: Simplify 2 into 2
11.651 * [backup-simplify]: Simplify (log 2) into (log 2)
11.651 * [taylor]: Taking taylor expansion of (log n) in k
11.651 * [taylor]: Taking taylor expansion of n in k
11.651 * [backup-simplify]: Simplify n into n
11.651 * [backup-simplify]: Simplify (log n) into (log n)
11.651 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.651 * [taylor]: Taking taylor expansion of 1/2 in k
11.651 * [backup-simplify]: Simplify 1/2 into 1/2
11.651 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.651 * [taylor]: Taking taylor expansion of 1/2 in k
11.651 * [backup-simplify]: Simplify 1/2 into 1/2
11.651 * [taylor]: Taking taylor expansion of k in k
11.651 * [backup-simplify]: Simplify 0 into 0
11.651 * [backup-simplify]: Simplify 1 into 1
11.652 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
11.652 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.652 * [backup-simplify]: Simplify (- 0) into 0
11.653 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.653 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
11.654 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
11.654 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
11.655 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
11.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.657 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
11.657 * [backup-simplify]: Simplify (- 0) into 0
11.658 * [backup-simplify]: Simplify (+ 0 0) into 0
11.658 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.659 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
11.660 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.660 * [taylor]: Taking taylor expansion of 0 in k
11.660 * [backup-simplify]: Simplify 0 into 0
11.660 * [backup-simplify]: Simplify 0 into 0
11.661 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.661 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.662 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
11.664 * [backup-simplify]: Simplify (+ 0 0) into 0
11.665 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
11.666 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
11.668 * [backup-simplify]: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
11.669 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.672 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
11.673 * [backup-simplify]: Simplify (- 0) into 0
11.674 * [backup-simplify]: Simplify (+ 0 0) into 0
11.675 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.675 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
11.677 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.677 * [taylor]: Taking taylor expansion of 0 in k
11.677 * [backup-simplify]: Simplify 0 into 0
11.677 * [backup-simplify]: Simplify 0 into 0
11.677 * [backup-simplify]: Simplify 0 into 0
11.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.678 * [backup-simplify]: Simplify (- 0) into 0
11.678 * [backup-simplify]: Simplify (+ 0 0) into 0
11.680 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.681 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
11.681 * [backup-simplify]: Simplify (+ 0 0) into 0
11.682 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
11.683 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
11.685 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
11.688 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
11.689 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
11.689 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
11.689 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
11.689 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
11.689 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
11.689 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.689 * [taylor]: Taking taylor expansion of 1/2 in k
11.689 * [backup-simplify]: Simplify 1/2 into 1/2
11.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.689 * [taylor]: Taking taylor expansion of 1/2 in k
11.689 * [backup-simplify]: Simplify 1/2 into 1/2
11.689 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.689 * [taylor]: Taking taylor expansion of k in k
11.689 * [backup-simplify]: Simplify 0 into 0
11.689 * [backup-simplify]: Simplify 1 into 1
11.689 * [backup-simplify]: Simplify (/ 1 1) into 1
11.689 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
11.689 * [taylor]: Taking taylor expansion of (/ 2 n) in k
11.689 * [taylor]: Taking taylor expansion of 2 in k
11.689 * [backup-simplify]: Simplify 2 into 2
11.689 * [taylor]: Taking taylor expansion of n in k
11.689 * [backup-simplify]: Simplify n into n
11.689 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
11.689 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
11.690 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.690 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.690 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.690 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
11.690 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
11.690 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
11.690 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
11.690 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
11.690 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.690 * [taylor]: Taking taylor expansion of 1/2 in n
11.690 * [backup-simplify]: Simplify 1/2 into 1/2
11.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.691 * [taylor]: Taking taylor expansion of 1/2 in n
11.691 * [backup-simplify]: Simplify 1/2 into 1/2
11.691 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.691 * [taylor]: Taking taylor expansion of k in n
11.691 * [backup-simplify]: Simplify k into k
11.691 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.691 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
11.691 * [taylor]: Taking taylor expansion of (/ 2 n) in n
11.691 * [taylor]: Taking taylor expansion of 2 in n
11.691 * [backup-simplify]: Simplify 2 into 2
11.691 * [taylor]: Taking taylor expansion of n in n
11.691 * [backup-simplify]: Simplify 0 into 0
11.691 * [backup-simplify]: Simplify 1 into 1
11.691 * [backup-simplify]: Simplify (/ 2 1) into 2
11.691 * [backup-simplify]: Simplify (log 2) into (log 2)
11.691 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.691 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.691 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.692 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.692 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
11.693 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.693 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
11.693 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
11.693 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
11.693 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.693 * [taylor]: Taking taylor expansion of 1/2 in n
11.693 * [backup-simplify]: Simplify 1/2 into 1/2
11.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.693 * [taylor]: Taking taylor expansion of 1/2 in n
11.693 * [backup-simplify]: Simplify 1/2 into 1/2
11.693 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.693 * [taylor]: Taking taylor expansion of k in n
11.693 * [backup-simplify]: Simplify k into k
11.693 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.693 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
11.693 * [taylor]: Taking taylor expansion of (/ 2 n) in n
11.693 * [taylor]: Taking taylor expansion of 2 in n
11.693 * [backup-simplify]: Simplify 2 into 2
11.693 * [taylor]: Taking taylor expansion of n in n
11.693 * [backup-simplify]: Simplify 0 into 0
11.693 * [backup-simplify]: Simplify 1 into 1
11.693 * [backup-simplify]: Simplify (/ 2 1) into 2
11.694 * [backup-simplify]: Simplify (log 2) into (log 2)
11.694 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.694 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.694 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.694 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.695 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
11.695 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.695 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
11.695 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
11.695 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.695 * [taylor]: Taking taylor expansion of 1/2 in k
11.695 * [backup-simplify]: Simplify 1/2 into 1/2
11.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.695 * [taylor]: Taking taylor expansion of 1/2 in k
11.695 * [backup-simplify]: Simplify 1/2 into 1/2
11.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.695 * [taylor]: Taking taylor expansion of k in k
11.695 * [backup-simplify]: Simplify 0 into 0
11.695 * [backup-simplify]: Simplify 1 into 1
11.695 * [backup-simplify]: Simplify (/ 1 1) into 1
11.696 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
11.696 * [taylor]: Taking taylor expansion of (log 2) in k
11.696 * [taylor]: Taking taylor expansion of 2 in k
11.696 * [backup-simplify]: Simplify 2 into 2
11.696 * [backup-simplify]: Simplify (log 2) into (log 2)
11.696 * [taylor]: Taking taylor expansion of (log n) in k
11.696 * [taylor]: Taking taylor expansion of n in k
11.696 * [backup-simplify]: Simplify n into n
11.696 * [backup-simplify]: Simplify (log n) into (log n)
11.696 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.696 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.697 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.697 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.697 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
11.697 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
11.698 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.698 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.699 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.700 * [backup-simplify]: Simplify (- 0) into 0
11.700 * [backup-simplify]: Simplify (+ 0 0) into 0
11.701 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.701 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
11.702 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.702 * [taylor]: Taking taylor expansion of 0 in k
11.702 * [backup-simplify]: Simplify 0 into 0
11.702 * [backup-simplify]: Simplify 0 into 0
11.702 * [backup-simplify]: Simplify 0 into 0
11.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.704 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.705 * [backup-simplify]: Simplify (- 0) into 0
11.712 * [backup-simplify]: Simplify (+ 0 0) into 0
11.713 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.713 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
11.715 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.715 * [taylor]: Taking taylor expansion of 0 in k
11.715 * [backup-simplify]: Simplify 0 into 0
11.715 * [backup-simplify]: Simplify 0 into 0
11.715 * [backup-simplify]: Simplify 0 into 0
11.715 * [backup-simplify]: Simplify 0 into 0
11.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.719 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
11.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
11.721 * [backup-simplify]: Simplify (- 0) into 0
11.722 * [backup-simplify]: Simplify (+ 0 0) into 0
11.722 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.724 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
11.726 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.726 * [taylor]: Taking taylor expansion of 0 in k
11.726 * [backup-simplify]: Simplify 0 into 0
11.726 * [backup-simplify]: Simplify 0 into 0
11.726 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
11.727 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
11.727 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
11.727 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
11.727 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
11.727 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
11.727 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.727 * [taylor]: Taking taylor expansion of 1/2 in k
11.727 * [backup-simplify]: Simplify 1/2 into 1/2
11.727 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.727 * [taylor]: Taking taylor expansion of k in k
11.727 * [backup-simplify]: Simplify 0 into 0
11.727 * [backup-simplify]: Simplify 1 into 1
11.727 * [backup-simplify]: Simplify (/ 1 1) into 1
11.727 * [taylor]: Taking taylor expansion of 1/2 in k
11.727 * [backup-simplify]: Simplify 1/2 into 1/2
11.727 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
11.728 * [taylor]: Taking taylor expansion of (/ -2 n) in k
11.728 * [taylor]: Taking taylor expansion of -2 in k
11.728 * [backup-simplify]: Simplify -2 into -2
11.728 * [taylor]: Taking taylor expansion of n in k
11.728 * [backup-simplify]: Simplify n into n
11.728 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
11.728 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
11.728 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.729 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.729 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
11.729 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
11.729 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.729 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
11.729 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
11.729 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.729 * [taylor]: Taking taylor expansion of 1/2 in n
11.729 * [backup-simplify]: Simplify 1/2 into 1/2
11.729 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.729 * [taylor]: Taking taylor expansion of k in n
11.729 * [backup-simplify]: Simplify k into k
11.729 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.729 * [taylor]: Taking taylor expansion of 1/2 in n
11.729 * [backup-simplify]: Simplify 1/2 into 1/2
11.729 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
11.729 * [taylor]: Taking taylor expansion of (/ -2 n) in n
11.729 * [taylor]: Taking taylor expansion of -2 in n
11.729 * [backup-simplify]: Simplify -2 into -2
11.729 * [taylor]: Taking taylor expansion of n in n
11.729 * [backup-simplify]: Simplify 0 into 0
11.729 * [backup-simplify]: Simplify 1 into 1
11.730 * [backup-simplify]: Simplify (/ -2 1) into -2
11.730 * [backup-simplify]: Simplify (log -2) into (log -2)
11.730 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.730 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.731 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.731 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
11.732 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.732 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.732 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
11.732 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
11.732 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.732 * [taylor]: Taking taylor expansion of 1/2 in n
11.732 * [backup-simplify]: Simplify 1/2 into 1/2
11.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.732 * [taylor]: Taking taylor expansion of k in n
11.732 * [backup-simplify]: Simplify k into k
11.732 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.732 * [taylor]: Taking taylor expansion of 1/2 in n
11.732 * [backup-simplify]: Simplify 1/2 into 1/2
11.732 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
11.732 * [taylor]: Taking taylor expansion of (/ -2 n) in n
11.732 * [taylor]: Taking taylor expansion of -2 in n
11.732 * [backup-simplify]: Simplify -2 into -2
11.732 * [taylor]: Taking taylor expansion of n in n
11.732 * [backup-simplify]: Simplify 0 into 0
11.733 * [backup-simplify]: Simplify 1 into 1
11.733 * [backup-simplify]: Simplify (/ -2 1) into -2
11.733 * [backup-simplify]: Simplify (log -2) into (log -2)
11.733 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.733 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.734 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.735 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
11.736 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.736 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
11.736 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
11.736 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.736 * [taylor]: Taking taylor expansion of 1/2 in k
11.736 * [backup-simplify]: Simplify 1/2 into 1/2
11.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.736 * [taylor]: Taking taylor expansion of k in k
11.736 * [backup-simplify]: Simplify 0 into 0
11.736 * [backup-simplify]: Simplify 1 into 1
11.736 * [backup-simplify]: Simplify (/ 1 1) into 1
11.736 * [taylor]: Taking taylor expansion of 1/2 in k
11.737 * [backup-simplify]: Simplify 1/2 into 1/2
11.737 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
11.737 * [taylor]: Taking taylor expansion of (log -2) in k
11.737 * [taylor]: Taking taylor expansion of -2 in k
11.737 * [backup-simplify]: Simplify -2 into -2
11.737 * [backup-simplify]: Simplify (log -2) into (log -2)
11.737 * [taylor]: Taking taylor expansion of (log n) in k
11.737 * [taylor]: Taking taylor expansion of n in k
11.737 * [backup-simplify]: Simplify n into n
11.737 * [backup-simplify]: Simplify (log n) into (log n)
11.737 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.738 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.738 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.738 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
11.739 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
11.739 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.740 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
11.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
11.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
11.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.743 * [backup-simplify]: Simplify (+ 0 0) into 0
11.744 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.745 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
11.746 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.746 * [taylor]: Taking taylor expansion of 0 in k
11.746 * [backup-simplify]: Simplify 0 into 0
11.746 * [backup-simplify]: Simplify 0 into 0
11.746 * [backup-simplify]: Simplify 0 into 0
11.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.750 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
11.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.751 * [backup-simplify]: Simplify (+ 0 0) into 0
11.752 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.753 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
11.755 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.755 * [taylor]: Taking taylor expansion of 0 in k
11.755 * [backup-simplify]: Simplify 0 into 0
11.755 * [backup-simplify]: Simplify 0 into 0
11.755 * [backup-simplify]: Simplify 0 into 0
11.755 * [backup-simplify]: Simplify 0 into 0
11.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.761 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0
11.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
11.763 * [backup-simplify]: Simplify (+ 0 0) into 0
11.764 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.765 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
11.767 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.767 * [taylor]: Taking taylor expansion of 0 in k
11.767 * [backup-simplify]: Simplify 0 into 0
11.767 * [backup-simplify]: Simplify 0 into 0
11.768 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
11.768 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2)
11.768 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k)))
11.768 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
11.768 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
11.769 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
11.769 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
11.769 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.769 * [taylor]: Taking taylor expansion of 1/2 in k
11.769 * [backup-simplify]: Simplify 1/2 into 1/2
11.769 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.769 * [taylor]: Taking taylor expansion of 1/2 in k
11.769 * [backup-simplify]: Simplify 1/2 into 1/2
11.769 * [taylor]: Taking taylor expansion of k in k
11.769 * [backup-simplify]: Simplify 0 into 0
11.769 * [backup-simplify]: Simplify 1 into 1
11.769 * [taylor]: Taking taylor expansion of (log PI) in k
11.769 * [taylor]: Taking taylor expansion of PI in k
11.769 * [backup-simplify]: Simplify PI into PI
11.769 * [backup-simplify]: Simplify (log PI) into (log PI)
11.770 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.770 * [backup-simplify]: Simplify (- 0) into 0
11.771 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.772 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.774 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
11.774 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
11.774 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
11.774 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
11.774 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.774 * [taylor]: Taking taylor expansion of 1/2 in k
11.774 * [backup-simplify]: Simplify 1/2 into 1/2
11.774 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.774 * [taylor]: Taking taylor expansion of 1/2 in k
11.774 * [backup-simplify]: Simplify 1/2 into 1/2
11.774 * [taylor]: Taking taylor expansion of k in k
11.774 * [backup-simplify]: Simplify 0 into 0
11.774 * [backup-simplify]: Simplify 1 into 1
11.774 * [taylor]: Taking taylor expansion of (log PI) in k
11.774 * [taylor]: Taking taylor expansion of PI in k
11.774 * [backup-simplify]: Simplify PI into PI
11.774 * [backup-simplify]: Simplify (log PI) into (log PI)
11.775 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.775 * [backup-simplify]: Simplify (- 0) into 0
11.776 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.777 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.778 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
11.779 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
11.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
11.782 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.782 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.782 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
11.795 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
11.798 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
11.801 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
11.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.803 * [backup-simplify]: Simplify (- 0) into 0
11.803 * [backup-simplify]: Simplify (+ 0 0) into 0
11.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
11.815 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
11.818 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
11.823 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
11.823 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
11.823 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
11.823 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
11.823 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
11.823 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
11.823 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.823 * [taylor]: Taking taylor expansion of 1/2 in k
11.823 * [backup-simplify]: Simplify 1/2 into 1/2
11.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.823 * [taylor]: Taking taylor expansion of 1/2 in k
11.823 * [backup-simplify]: Simplify 1/2 into 1/2
11.823 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.823 * [taylor]: Taking taylor expansion of k in k
11.823 * [backup-simplify]: Simplify 0 into 0
11.823 * [backup-simplify]: Simplify 1 into 1
11.823 * [backup-simplify]: Simplify (/ 1 1) into 1
11.823 * [taylor]: Taking taylor expansion of (log PI) in k
11.823 * [taylor]: Taking taylor expansion of PI in k
11.823 * [backup-simplify]: Simplify PI into PI
11.824 * [backup-simplify]: Simplify (log PI) into (log PI)
11.824 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.824 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.825 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.825 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
11.826 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
11.826 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
11.826 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
11.826 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
11.826 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.826 * [taylor]: Taking taylor expansion of 1/2 in k
11.826 * [backup-simplify]: Simplify 1/2 into 1/2
11.826 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.826 * [taylor]: Taking taylor expansion of 1/2 in k
11.826 * [backup-simplify]: Simplify 1/2 into 1/2
11.826 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.826 * [taylor]: Taking taylor expansion of k in k
11.826 * [backup-simplify]: Simplify 0 into 0
11.826 * [backup-simplify]: Simplify 1 into 1
11.826 * [backup-simplify]: Simplify (/ 1 1) into 1
11.826 * [taylor]: Taking taylor expansion of (log PI) in k
11.826 * [taylor]: Taking taylor expansion of PI in k
11.826 * [backup-simplify]: Simplify PI into PI
11.827 * [backup-simplify]: Simplify (log PI) into (log PI)
11.827 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.827 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.827 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.828 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
11.828 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
11.829 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
11.829 * [backup-simplify]: Simplify 0 into 0
11.829 * [backup-simplify]: Simplify 0 into 0
11.829 * [backup-simplify]: Simplify 0 into 0
11.829 * [backup-simplify]: Simplify 0 into 0
11.829 * [backup-simplify]: Simplify 0 into 0
11.829 * [backup-simplify]: Simplify 0 into 0
11.829 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
11.829 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
11.829 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
11.829 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
11.829 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
11.829 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
11.829 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.829 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.829 * [taylor]: Taking taylor expansion of 1/2 in k
11.829 * [backup-simplify]: Simplify 1/2 into 1/2
11.829 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.829 * [taylor]: Taking taylor expansion of k in k
11.829 * [backup-simplify]: Simplify 0 into 0
11.829 * [backup-simplify]: Simplify 1 into 1
11.829 * [backup-simplify]: Simplify (/ 1 1) into 1
11.829 * [taylor]: Taking taylor expansion of 1/2 in k
11.829 * [backup-simplify]: Simplify 1/2 into 1/2
11.830 * [taylor]: Taking taylor expansion of (log PI) in k
11.830 * [taylor]: Taking taylor expansion of PI in k
11.830 * [backup-simplify]: Simplify PI into PI
11.830 * [backup-simplify]: Simplify (log PI) into (log PI)
11.830 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.830 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.831 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.832 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
11.832 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
11.832 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
11.832 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
11.832 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.832 * [taylor]: Taking taylor expansion of 1/2 in k
11.832 * [backup-simplify]: Simplify 1/2 into 1/2
11.832 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.832 * [taylor]: Taking taylor expansion of k in k
11.832 * [backup-simplify]: Simplify 0 into 0
11.832 * [backup-simplify]: Simplify 1 into 1
11.832 * [backup-simplify]: Simplify (/ 1 1) into 1
11.832 * [taylor]: Taking taylor expansion of 1/2 in k
11.832 * [backup-simplify]: Simplify 1/2 into 1/2
11.832 * [taylor]: Taking taylor expansion of (log PI) in k
11.832 * [taylor]: Taking taylor expansion of PI in k
11.832 * [backup-simplify]: Simplify PI into PI
11.832 * [backup-simplify]: Simplify (log PI) into (log PI)
11.833 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.833 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.834 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.834 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
11.834 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
11.834 * [backup-simplify]: Simplify 0 into 0
11.834 * [backup-simplify]: Simplify 0 into 0
11.834 * [backup-simplify]: Simplify 0 into 0
11.834 * [backup-simplify]: Simplify 0 into 0
11.834 * [backup-simplify]: Simplify 0 into 0
11.834 * [backup-simplify]: Simplify 0 into 0
11.834 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
11.834 * * * * [progress]: [ 3 / 4 ] generating series at (2)
11.835 * [backup-simplify]: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
11.835 * [approximate]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (n k) around 0
11.835 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
11.835 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
11.835 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
11.835 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
11.835 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
11.835 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.835 * [taylor]: Taking taylor expansion of 1/2 in k
11.835 * [backup-simplify]: Simplify 1/2 into 1/2
11.835 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.835 * [taylor]: Taking taylor expansion of 1/2 in k
11.835 * [backup-simplify]: Simplify 1/2 into 1/2
11.835 * [taylor]: Taking taylor expansion of k in k
11.835 * [backup-simplify]: Simplify 0 into 0
11.835 * [backup-simplify]: Simplify 1 into 1
11.835 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
11.835 * [taylor]: Taking taylor expansion of (* 2 n) in k
11.835 * [taylor]: Taking taylor expansion of 2 in k
11.835 * [backup-simplify]: Simplify 2 into 2
11.835 * [taylor]: Taking taylor expansion of n in k
11.835 * [backup-simplify]: Simplify n into n
11.835 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
11.835 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
11.835 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.835 * [backup-simplify]: Simplify (- 0) into 0
11.836 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.836 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
11.836 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
11.836 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
11.836 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
11.836 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
11.836 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.836 * [taylor]: Taking taylor expansion of 1/2 in k
11.836 * [backup-simplify]: Simplify 1/2 into 1/2
11.836 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.836 * [taylor]: Taking taylor expansion of 1/2 in k
11.836 * [backup-simplify]: Simplify 1/2 into 1/2
11.836 * [taylor]: Taking taylor expansion of k in k
11.836 * [backup-simplify]: Simplify 0 into 0
11.836 * [backup-simplify]: Simplify 1 into 1
11.836 * [taylor]: Taking taylor expansion of (log PI) in k
11.836 * [taylor]: Taking taylor expansion of PI in k
11.836 * [backup-simplify]: Simplify PI into PI
11.836 * [backup-simplify]: Simplify (log PI) into (log PI)
11.837 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.837 * [backup-simplify]: Simplify (- 0) into 0
11.837 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.838 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.839 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
11.839 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.839 * [taylor]: Taking taylor expansion of k in k
11.839 * [backup-simplify]: Simplify 0 into 0
11.839 * [backup-simplify]: Simplify 1 into 1
11.839 * [backup-simplify]: Simplify (/ 1 1) into 1
11.839 * [backup-simplify]: Simplify (sqrt 0) into 0
11.840 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.840 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
11.840 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
11.840 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
11.840 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
11.840 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
11.840 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.840 * [taylor]: Taking taylor expansion of 1/2 in n
11.840 * [backup-simplify]: Simplify 1/2 into 1/2
11.840 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.840 * [taylor]: Taking taylor expansion of 1/2 in n
11.840 * [backup-simplify]: Simplify 1/2 into 1/2
11.840 * [taylor]: Taking taylor expansion of k in n
11.841 * [backup-simplify]: Simplify k into k
11.841 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
11.841 * [taylor]: Taking taylor expansion of (* 2 n) in n
11.841 * [taylor]: Taking taylor expansion of 2 in n
11.841 * [backup-simplify]: Simplify 2 into 2
11.841 * [taylor]: Taking taylor expansion of n in n
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [backup-simplify]: Simplify 1 into 1
11.843 * [backup-simplify]: Simplify (* 2 0) into 0
11.843 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.844 * [backup-simplify]: Simplify (log 2) into (log 2)
11.844 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.844 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.844 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.844 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.845 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
11.845 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
11.845 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
11.845 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
11.845 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
11.845 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.845 * [taylor]: Taking taylor expansion of 1/2 in n
11.845 * [backup-simplify]: Simplify 1/2 into 1/2
11.845 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.845 * [taylor]: Taking taylor expansion of 1/2 in n
11.845 * [backup-simplify]: Simplify 1/2 into 1/2
11.845 * [taylor]: Taking taylor expansion of k in n
11.845 * [backup-simplify]: Simplify k into k
11.845 * [taylor]: Taking taylor expansion of (log PI) in n
11.845 * [taylor]: Taking taylor expansion of PI in n
11.845 * [backup-simplify]: Simplify PI into PI
11.846 * [backup-simplify]: Simplify (log PI) into (log PI)
11.846 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.846 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.846 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.846 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
11.846 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
11.846 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.846 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.846 * [taylor]: Taking taylor expansion of k in n
11.846 * [backup-simplify]: Simplify k into k
11.847 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.847 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.847 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
11.847 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
11.847 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
11.847 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
11.847 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
11.847 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.847 * [taylor]: Taking taylor expansion of 1/2 in n
11.847 * [backup-simplify]: Simplify 1/2 into 1/2
11.847 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.847 * [taylor]: Taking taylor expansion of 1/2 in n
11.847 * [backup-simplify]: Simplify 1/2 into 1/2
11.847 * [taylor]: Taking taylor expansion of k in n
11.847 * [backup-simplify]: Simplify k into k
11.847 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
11.847 * [taylor]: Taking taylor expansion of (* 2 n) in n
11.847 * [taylor]: Taking taylor expansion of 2 in n
11.847 * [backup-simplify]: Simplify 2 into 2
11.847 * [taylor]: Taking taylor expansion of n in n
11.847 * [backup-simplify]: Simplify 0 into 0
11.847 * [backup-simplify]: Simplify 1 into 1
11.847 * [backup-simplify]: Simplify (* 2 0) into 0
11.848 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
11.848 * [backup-simplify]: Simplify (log 2) into (log 2)
11.848 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.848 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.848 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.849 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.849 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
11.849 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
11.849 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
11.849 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
11.849 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
11.849 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.849 * [taylor]: Taking taylor expansion of 1/2 in n
11.849 * [backup-simplify]: Simplify 1/2 into 1/2
11.849 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.849 * [taylor]: Taking taylor expansion of 1/2 in n
11.849 * [backup-simplify]: Simplify 1/2 into 1/2
11.849 * [taylor]: Taking taylor expansion of k in n
11.849 * [backup-simplify]: Simplify k into k
11.849 * [taylor]: Taking taylor expansion of (log PI) in n
11.850 * [taylor]: Taking taylor expansion of PI in n
11.850 * [backup-simplify]: Simplify PI into PI
11.850 * [backup-simplify]: Simplify (log PI) into (log PI)
11.850 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.850 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.850 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.850 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
11.851 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
11.851 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.851 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.851 * [taylor]: Taking taylor expansion of k in n
11.851 * [backup-simplify]: Simplify k into k
11.851 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.851 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.851 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
11.852 * [backup-simplify]: Simplify (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))
11.852 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) in k
11.852 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.852 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.852 * [taylor]: Taking taylor expansion of k in k
11.852 * [backup-simplify]: Simplify 0 into 0
11.852 * [backup-simplify]: Simplify 1 into 1
11.852 * [backup-simplify]: Simplify (/ 1 1) into 1
11.852 * [backup-simplify]: Simplify (sqrt 0) into 0
11.853 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.853 * [taylor]: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) in k
11.853 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
11.853 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
11.853 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
11.853 * [taylor]: Taking taylor expansion of (log 2) in k
11.853 * [taylor]: Taking taylor expansion of 2 in k
11.853 * [backup-simplify]: Simplify 2 into 2
11.854 * [backup-simplify]: Simplify (log 2) into (log 2)
11.854 * [taylor]: Taking taylor expansion of (log n) in k
11.854 * [taylor]: Taking taylor expansion of n in k
11.854 * [backup-simplify]: Simplify n into n
11.854 * [backup-simplify]: Simplify (log n) into (log n)
11.854 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.854 * [taylor]: Taking taylor expansion of 1/2 in k
11.854 * [backup-simplify]: Simplify 1/2 into 1/2
11.854 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.854 * [taylor]: Taking taylor expansion of 1/2 in k
11.854 * [backup-simplify]: Simplify 1/2 into 1/2
11.854 * [taylor]: Taking taylor expansion of k in k
11.854 * [backup-simplify]: Simplify 0 into 0
11.854 * [backup-simplify]: Simplify 1 into 1
11.854 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
11.854 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.855 * [backup-simplify]: Simplify (- 0) into 0
11.855 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.855 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
11.855 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
11.855 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
11.855 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
11.855 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
11.855 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.856 * [taylor]: Taking taylor expansion of 1/2 in k
11.856 * [backup-simplify]: Simplify 1/2 into 1/2
11.856 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.856 * [taylor]: Taking taylor expansion of 1/2 in k
11.856 * [backup-simplify]: Simplify 1/2 into 1/2
11.856 * [taylor]: Taking taylor expansion of k in k
11.856 * [backup-simplify]: Simplify 0 into 0
11.856 * [backup-simplify]: Simplify 1 into 1
11.856 * [taylor]: Taking taylor expansion of (log PI) in k
11.856 * [taylor]: Taking taylor expansion of PI in k
11.856 * [backup-simplify]: Simplify PI into PI
11.856 * [backup-simplify]: Simplify (log PI) into (log PI)
11.856 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.856 * [backup-simplify]: Simplify (- 0) into 0
11.857 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.857 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.858 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
11.859 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 1/2)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))
11.859 * [backup-simplify]: Simplify (* 0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) into 0
11.860 * [backup-simplify]: Simplify 0 into 0
11.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
11.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
11.861 * [backup-simplify]: Simplify (- 0) into 0
11.861 * [backup-simplify]: Simplify (+ 0 0) into 0
11.862 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
11.862 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
11.863 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
11.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
11.864 * [backup-simplify]: Simplify (- 0) into 0
11.865 * [backup-simplify]: Simplify (+ 0 0) into 0
11.865 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.866 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
11.866 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.867 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0
11.867 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0
11.867 * [taylor]: Taking taylor expansion of 0 in k
11.867 * [backup-simplify]: Simplify 0 into 0
11.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
11.869 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.869 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.869 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
11.876 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
11.877 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.877 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.877 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
11.879 * [backup-simplify]: Simplify (+ 0 0) into 0
11.879 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
11.880 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
11.883 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))
11.887 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
11.889 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
11.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.890 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
11.893 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
11.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
11.895 * [backup-simplify]: Simplify (- 0) into 0
11.895 * [backup-simplify]: Simplify (+ 0 0) into 0
11.896 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
11.898 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.899 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.902 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
11.904 * [backup-simplify]: Simplify (- 0) into 0
11.904 * [backup-simplify]: Simplify (+ 0 0) into 0
11.905 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.906 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
11.908 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.909 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k)))))) into 0
11.910 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
11.910 * [taylor]: Taking taylor expansion of 0 in k
11.910 * [backup-simplify]: Simplify 0 into 0
11.910 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
11.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.915 * [backup-simplify]: Simplify (- 0) into 0
11.915 * [backup-simplify]: Simplify (+ 0 0) into 0
11.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
11.927 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
11.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.928 * [backup-simplify]: Simplify (- 0) into 0
11.928 * [backup-simplify]: Simplify (+ 0 0) into 0
11.930 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.931 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
11.931 * [backup-simplify]: Simplify (+ 0 0) into 0
11.932 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
11.933 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
11.940 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow PI 1/2)))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))
11.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.942 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.954 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
11.957 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
11.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
11.961 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
11.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
11.962 * [backup-simplify]: Simplify (- 0) into 0
11.962 * [backup-simplify]: Simplify (+ 0 0) into 0
11.962 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
11.964 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
11.967 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
11.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
11.969 * [backup-simplify]: Simplify (- 0) into 0
11.969 * [backup-simplify]: Simplify (+ 0 0) into 0
11.969 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
11.970 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
11.971 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.972 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))))) into 0
11.973 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
11.973 * [taylor]: Taking taylor expansion of 0 in k
11.973 * [backup-simplify]: Simplify 0 into 0
11.973 * [backup-simplify]: Simplify 0 into 0
11.973 * [backup-simplify]: Simplify 0 into 0
11.976 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
11.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.977 * [backup-simplify]: Simplify (- 0) into 0
11.977 * [backup-simplify]: Simplify (+ 0 0) into 0
11.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
11.987 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
11.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.988 * [backup-simplify]: Simplify (- 0) into 0
11.989 * [backup-simplify]: Simplify (+ 0 0) into 0
11.991 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
11.993 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
11.993 * [backup-simplify]: Simplify (+ 0 0) into 0
11.994 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0
11.996 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n))))))
12.009 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) (pow PI 1/2))))) into (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))
12.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.052 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))) (+ (* +nan.0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
12.065 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
12.083 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) (* k 1)) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
12.083 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow PI (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
12.083 * [approximate]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (n k) around 0
12.083 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
12.083 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
12.083 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
12.083 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
12.083 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
12.083 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.083 * [taylor]: Taking taylor expansion of 1/2 in k
12.083 * [backup-simplify]: Simplify 1/2 into 1/2
12.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.083 * [taylor]: Taking taylor expansion of 1/2 in k
12.083 * [backup-simplify]: Simplify 1/2 into 1/2
12.083 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.083 * [taylor]: Taking taylor expansion of k in k
12.083 * [backup-simplify]: Simplify 0 into 0
12.083 * [backup-simplify]: Simplify 1 into 1
12.084 * [backup-simplify]: Simplify (/ 1 1) into 1
12.084 * [taylor]: Taking taylor expansion of (log PI) in k
12.084 * [taylor]: Taking taylor expansion of PI in k
12.084 * [backup-simplify]: Simplify PI into PI
12.084 * [backup-simplify]: Simplify (log PI) into (log PI)
12.084 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.085 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.085 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.085 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
12.086 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.086 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
12.086 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
12.086 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
12.086 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.086 * [taylor]: Taking taylor expansion of 1/2 in k
12.086 * [backup-simplify]: Simplify 1/2 into 1/2
12.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.086 * [taylor]: Taking taylor expansion of 1/2 in k
12.086 * [backup-simplify]: Simplify 1/2 into 1/2
12.086 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.086 * [taylor]: Taking taylor expansion of k in k
12.086 * [backup-simplify]: Simplify 0 into 0
12.086 * [backup-simplify]: Simplify 1 into 1
12.086 * [backup-simplify]: Simplify (/ 1 1) into 1
12.086 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
12.086 * [taylor]: Taking taylor expansion of (/ 2 n) in k
12.086 * [taylor]: Taking taylor expansion of 2 in k
12.086 * [backup-simplify]: Simplify 2 into 2
12.086 * [taylor]: Taking taylor expansion of n in k
12.086 * [backup-simplify]: Simplify n into n
12.086 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
12.086 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
12.087 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.087 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.087 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.087 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
12.087 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
12.087 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.087 * [taylor]: Taking taylor expansion of k in k
12.087 * [backup-simplify]: Simplify 0 into 0
12.087 * [backup-simplify]: Simplify 1 into 1
12.088 * [backup-simplify]: Simplify (sqrt 0) into 0
12.089 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.089 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
12.089 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
12.089 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
12.089 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
12.089 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
12.089 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
12.089 * [taylor]: Taking taylor expansion of 1/2 in n
12.089 * [backup-simplify]: Simplify 1/2 into 1/2
12.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.089 * [taylor]: Taking taylor expansion of 1/2 in n
12.089 * [backup-simplify]: Simplify 1/2 into 1/2
12.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.089 * [taylor]: Taking taylor expansion of k in n
12.089 * [backup-simplify]: Simplify k into k
12.089 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.089 * [taylor]: Taking taylor expansion of (log PI) in n
12.089 * [taylor]: Taking taylor expansion of PI in n
12.089 * [backup-simplify]: Simplify PI into PI
12.089 * [backup-simplify]: Simplify (log PI) into (log PI)
12.089 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.089 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
12.089 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
12.090 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
12.090 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.090 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
12.090 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
12.090 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
12.090 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
12.090 * [taylor]: Taking taylor expansion of 1/2 in n
12.090 * [backup-simplify]: Simplify 1/2 into 1/2
12.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.090 * [taylor]: Taking taylor expansion of 1/2 in n
12.090 * [backup-simplify]: Simplify 1/2 into 1/2
12.090 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.090 * [taylor]: Taking taylor expansion of k in n
12.090 * [backup-simplify]: Simplify k into k
12.090 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.090 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
12.090 * [taylor]: Taking taylor expansion of (/ 2 n) in n
12.090 * [taylor]: Taking taylor expansion of 2 in n
12.090 * [backup-simplify]: Simplify 2 into 2
12.090 * [taylor]: Taking taylor expansion of n in n
12.090 * [backup-simplify]: Simplify 0 into 0
12.090 * [backup-simplify]: Simplify 1 into 1
12.091 * [backup-simplify]: Simplify (/ 2 1) into 2
12.091 * [backup-simplify]: Simplify (log 2) into (log 2)
12.091 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.091 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
12.091 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
12.092 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
12.092 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
12.092 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
12.092 * [taylor]: Taking taylor expansion of (sqrt k) in n
12.092 * [taylor]: Taking taylor expansion of k in n
12.092 * [backup-simplify]: Simplify k into k
12.092 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
12.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
12.093 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
12.093 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
12.093 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
12.093 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
12.093 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
12.093 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
12.093 * [taylor]: Taking taylor expansion of 1/2 in n
12.093 * [backup-simplify]: Simplify 1/2 into 1/2
12.093 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.093 * [taylor]: Taking taylor expansion of 1/2 in n
12.093 * [backup-simplify]: Simplify 1/2 into 1/2
12.093 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.093 * [taylor]: Taking taylor expansion of k in n
12.093 * [backup-simplify]: Simplify k into k
12.093 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.093 * [taylor]: Taking taylor expansion of (log PI) in n
12.093 * [taylor]: Taking taylor expansion of PI in n
12.093 * [backup-simplify]: Simplify PI into PI
12.093 * [backup-simplify]: Simplify (log PI) into (log PI)
12.093 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.093 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
12.093 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
12.094 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
12.094 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.094 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
12.094 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
12.094 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
12.094 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
12.094 * [taylor]: Taking taylor expansion of 1/2 in n
12.094 * [backup-simplify]: Simplify 1/2 into 1/2
12.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.094 * [taylor]: Taking taylor expansion of 1/2 in n
12.094 * [backup-simplify]: Simplify 1/2 into 1/2
12.094 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.094 * [taylor]: Taking taylor expansion of k in n
12.094 * [backup-simplify]: Simplify k into k
12.094 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.094 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
12.094 * [taylor]: Taking taylor expansion of (/ 2 n) in n
12.094 * [taylor]: Taking taylor expansion of 2 in n
12.094 * [backup-simplify]: Simplify 2 into 2
12.094 * [taylor]: Taking taylor expansion of n in n
12.094 * [backup-simplify]: Simplify 0 into 0
12.094 * [backup-simplify]: Simplify 1 into 1
12.095 * [backup-simplify]: Simplify (/ 2 1) into 2
12.095 * [backup-simplify]: Simplify (log 2) into (log 2)
12.095 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.095 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
12.095 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
12.095 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
12.096 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
12.096 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
12.096 * [taylor]: Taking taylor expansion of (sqrt k) in n
12.096 * [taylor]: Taking taylor expansion of k in n
12.096 * [backup-simplify]: Simplify k into k
12.096 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
12.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
12.097 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
12.097 * [backup-simplify]: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (sqrt k)) into (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
12.097 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k
12.097 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.097 * [taylor]: Taking taylor expansion of k in k
12.097 * [backup-simplify]: Simplify 0 into 0
12.097 * [backup-simplify]: Simplify 1 into 1
12.098 * [backup-simplify]: Simplify (sqrt 0) into 0
12.098 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.098 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k
12.098 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
12.098 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
12.098 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
12.098 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.098 * [taylor]: Taking taylor expansion of 1/2 in k
12.098 * [backup-simplify]: Simplify 1/2 into 1/2
12.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.098 * [taylor]: Taking taylor expansion of 1/2 in k
12.099 * [backup-simplify]: Simplify 1/2 into 1/2
12.099 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.099 * [taylor]: Taking taylor expansion of k in k
12.099 * [backup-simplify]: Simplify 0 into 0
12.099 * [backup-simplify]: Simplify 1 into 1
12.099 * [backup-simplify]: Simplify (/ 1 1) into 1
12.099 * [taylor]: Taking taylor expansion of (log PI) in k
12.099 * [taylor]: Taking taylor expansion of PI in k
12.099 * [backup-simplify]: Simplify PI into PI
12.099 * [backup-simplify]: Simplify (log PI) into (log PI)
12.099 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.100 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.100 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.101 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
12.101 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.101 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
12.101 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
12.101 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.101 * [taylor]: Taking taylor expansion of 1/2 in k
12.101 * [backup-simplify]: Simplify 1/2 into 1/2
12.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.101 * [taylor]: Taking taylor expansion of 1/2 in k
12.101 * [backup-simplify]: Simplify 1/2 into 1/2
12.101 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.101 * [taylor]: Taking taylor expansion of k in k
12.101 * [backup-simplify]: Simplify 0 into 0
12.101 * [backup-simplify]: Simplify 1 into 1
12.101 * [backup-simplify]: Simplify (/ 1 1) into 1
12.101 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
12.101 * [taylor]: Taking taylor expansion of (log 2) in k
12.101 * [taylor]: Taking taylor expansion of 2 in k
12.101 * [backup-simplify]: Simplify 2 into 2
12.102 * [backup-simplify]: Simplify (log 2) into (log 2)
12.102 * [taylor]: Taking taylor expansion of (log n) in k
12.102 * [taylor]: Taking taylor expansion of n in k
12.102 * [backup-simplify]: Simplify n into n
12.102 * [backup-simplify]: Simplify (log n) into (log n)
12.102 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.102 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.103 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.103 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
12.103 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
12.103 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
12.104 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
12.104 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
12.104 * [backup-simplify]: Simplify (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
12.104 * [backup-simplify]: Simplify 0 into 0
12.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
12.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
12.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
12.106 * [backup-simplify]: Simplify (- 0) into 0
12.107 * [backup-simplify]: Simplify (+ 0 0) into 0
12.107 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
12.108 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
12.108 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
12.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
12.110 * [backup-simplify]: Simplify (- 0) into 0
12.110 * [backup-simplify]: Simplify (+ 0 0) into 0
12.111 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
12.111 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
12.112 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
12.112 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (* 0 (sqrt k))) into 0
12.112 * [taylor]: Taking taylor expansion of 0 in k
12.112 * [backup-simplify]: Simplify 0 into 0
12.112 * [backup-simplify]: Simplify 0 into 0
12.113 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
12.114 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
12.114 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
12.115 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
12.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.119 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
12.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
12.120 * [backup-simplify]: Simplify (- 0) into 0
12.120 * [backup-simplify]: Simplify (+ 0 0) into 0
12.121 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
12.125 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
12.127 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
12.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
12.131 * [backup-simplify]: Simplify (- 0) into 0
12.131 * [backup-simplify]: Simplify (+ 0 0) into 0
12.132 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
12.134 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.135 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
12.135 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
12.136 * [taylor]: Taking taylor expansion of 0 in k
12.136 * [backup-simplify]: Simplify 0 into 0
12.136 * [backup-simplify]: Simplify 0 into 0
12.136 * [backup-simplify]: Simplify 0 into 0
12.137 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
12.139 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
12.141 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
12.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
12.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.146 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
12.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
12.148 * [backup-simplify]: Simplify (- 0) into 0
12.148 * [backup-simplify]: Simplify (+ 0 0) into 0
12.148 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
12.149 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
12.150 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.153 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
12.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
12.154 * [backup-simplify]: Simplify (- 0) into 0
12.155 * [backup-simplify]: Simplify (+ 0 0) into 0
12.155 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
12.156 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.157 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
12.158 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
12.158 * [taylor]: Taking taylor expansion of 0 in k
12.158 * [backup-simplify]: Simplify 0 into 0
12.158 * [backup-simplify]: Simplify 0 into 0
12.158 * [backup-simplify]: Simplify 0 into 0
12.159 * [backup-simplify]: Simplify 0 into 0
12.159 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
12.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
12.164 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
12.165 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
12.166 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow PI (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
12.166 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (n k) around 0
12.166 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
12.166 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
12.166 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.166 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
12.166 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
12.166 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.166 * [taylor]: Taking taylor expansion of 1/2 in k
12.166 * [backup-simplify]: Simplify 1/2 into 1/2
12.166 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.166 * [taylor]: Taking taylor expansion of k in k
12.166 * [backup-simplify]: Simplify 0 into 0
12.166 * [backup-simplify]: Simplify 1 into 1
12.166 * [backup-simplify]: Simplify (/ 1 1) into 1
12.166 * [taylor]: Taking taylor expansion of 1/2 in k
12.166 * [backup-simplify]: Simplify 1/2 into 1/2
12.166 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
12.166 * [taylor]: Taking taylor expansion of (/ -2 n) in k
12.166 * [taylor]: Taking taylor expansion of -2 in k
12.166 * [backup-simplify]: Simplify -2 into -2
12.166 * [taylor]: Taking taylor expansion of n in k
12.166 * [backup-simplify]: Simplify n into n
12.166 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
12.167 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
12.167 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.167 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.167 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
12.167 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
12.168 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.168 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
12.168 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
12.168 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.168 * [taylor]: Taking taylor expansion of 1/2 in k
12.168 * [backup-simplify]: Simplify 1/2 into 1/2
12.168 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.168 * [taylor]: Taking taylor expansion of k in k
12.168 * [backup-simplify]: Simplify 0 into 0
12.168 * [backup-simplify]: Simplify 1 into 1
12.168 * [backup-simplify]: Simplify (/ 1 1) into 1
12.168 * [taylor]: Taking taylor expansion of 1/2 in k
12.168 * [backup-simplify]: Simplify 1/2 into 1/2
12.168 * [taylor]: Taking taylor expansion of (log PI) in k
12.168 * [taylor]: Taking taylor expansion of PI in k
12.168 * [backup-simplify]: Simplify PI into PI
12.168 * [backup-simplify]: Simplify (log PI) into (log PI)
12.169 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.169 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.170 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.170 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.170 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.170 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.170 * [taylor]: Taking taylor expansion of -1 in k
12.170 * [backup-simplify]: Simplify -1 into -1
12.170 * [taylor]: Taking taylor expansion of k in k
12.170 * [backup-simplify]: Simplify 0 into 0
12.170 * [backup-simplify]: Simplify 1 into 1
12.170 * [backup-simplify]: Simplify (/ -1 1) into -1
12.171 * [backup-simplify]: Simplify (sqrt 0) into 0
12.171 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.172 * [backup-simplify]: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.172 * [backup-simplify]: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
12.172 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
12.172 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
12.172 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
12.172 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
12.172 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
12.172 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
12.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.172 * [taylor]: Taking taylor expansion of 1/2 in n
12.172 * [backup-simplify]: Simplify 1/2 into 1/2
12.172 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.172 * [taylor]: Taking taylor expansion of k in n
12.172 * [backup-simplify]: Simplify k into k
12.172 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.172 * [taylor]: Taking taylor expansion of 1/2 in n
12.172 * [backup-simplify]: Simplify 1/2 into 1/2
12.172 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
12.172 * [taylor]: Taking taylor expansion of (/ -2 n) in n
12.172 * [taylor]: Taking taylor expansion of -2 in n
12.172 * [backup-simplify]: Simplify -2 into -2
12.172 * [taylor]: Taking taylor expansion of n in n
12.172 * [backup-simplify]: Simplify 0 into 0
12.172 * [backup-simplify]: Simplify 1 into 1
12.173 * [backup-simplify]: Simplify (/ -2 1) into -2
12.173 * [backup-simplify]: Simplify (log -2) into (log -2)
12.173 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.173 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
12.173 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
12.174 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
12.174 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
12.174 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
12.174 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
12.174 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
12.174 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
12.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.174 * [taylor]: Taking taylor expansion of 1/2 in n
12.174 * [backup-simplify]: Simplify 1/2 into 1/2
12.174 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.174 * [taylor]: Taking taylor expansion of k in n
12.174 * [backup-simplify]: Simplify k into k
12.174 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.174 * [taylor]: Taking taylor expansion of 1/2 in n
12.174 * [backup-simplify]: Simplify 1/2 into 1/2
12.174 * [taylor]: Taking taylor expansion of (log PI) in n
12.174 * [taylor]: Taking taylor expansion of PI in n
12.174 * [backup-simplify]: Simplify PI into PI
12.175 * [backup-simplify]: Simplify (log PI) into (log PI)
12.175 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.175 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
12.175 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
12.175 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.176 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
12.176 * [taylor]: Taking taylor expansion of (/ -1 k) in n
12.176 * [taylor]: Taking taylor expansion of -1 in n
12.176 * [backup-simplify]: Simplify -1 into -1
12.176 * [taylor]: Taking taylor expansion of k in n
12.176 * [backup-simplify]: Simplify k into k
12.176 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
12.176 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
12.176 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
12.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
12.176 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.177 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
12.177 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
12.177 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
12.177 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
12.177 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
12.177 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
12.177 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
12.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.177 * [taylor]: Taking taylor expansion of 1/2 in n
12.177 * [backup-simplify]: Simplify 1/2 into 1/2
12.177 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.177 * [taylor]: Taking taylor expansion of k in n
12.177 * [backup-simplify]: Simplify k into k
12.177 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.177 * [taylor]: Taking taylor expansion of 1/2 in n
12.177 * [backup-simplify]: Simplify 1/2 into 1/2
12.177 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
12.177 * [taylor]: Taking taylor expansion of (/ -2 n) in n
12.177 * [taylor]: Taking taylor expansion of -2 in n
12.177 * [backup-simplify]: Simplify -2 into -2
12.177 * [taylor]: Taking taylor expansion of n in n
12.177 * [backup-simplify]: Simplify 0 into 0
12.177 * [backup-simplify]: Simplify 1 into 1
12.177 * [backup-simplify]: Simplify (/ -2 1) into -2
12.178 * [backup-simplify]: Simplify (log -2) into (log -2)
12.178 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.178 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
12.178 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
12.179 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
12.179 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
12.179 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
12.179 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
12.179 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
12.179 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
12.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.179 * [taylor]: Taking taylor expansion of 1/2 in n
12.179 * [backup-simplify]: Simplify 1/2 into 1/2
12.179 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.179 * [taylor]: Taking taylor expansion of k in n
12.179 * [backup-simplify]: Simplify k into k
12.179 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.179 * [taylor]: Taking taylor expansion of 1/2 in n
12.179 * [backup-simplify]: Simplify 1/2 into 1/2
12.179 * [taylor]: Taking taylor expansion of (log PI) in n
12.179 * [taylor]: Taking taylor expansion of PI in n
12.179 * [backup-simplify]: Simplify PI into PI
12.180 * [backup-simplify]: Simplify (log PI) into (log PI)
12.180 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
12.180 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
12.180 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
12.180 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.180 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
12.180 * [taylor]: Taking taylor expansion of (/ -1 k) in n
12.180 * [taylor]: Taking taylor expansion of -1 in n
12.180 * [backup-simplify]: Simplify -1 into -1
12.180 * [taylor]: Taking taylor expansion of k in n
12.180 * [backup-simplify]: Simplify k into k
12.180 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
12.180 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
12.181 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
12.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
12.181 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.181 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
12.182 * [taylor]: Taking taylor expansion of (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
12.182 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
12.182 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
12.182 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
12.182 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.182 * [taylor]: Taking taylor expansion of 1/2 in k
12.182 * [backup-simplify]: Simplify 1/2 into 1/2
12.182 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.182 * [taylor]: Taking taylor expansion of k in k
12.182 * [backup-simplify]: Simplify 0 into 0
12.182 * [backup-simplify]: Simplify 1 into 1
12.182 * [backup-simplify]: Simplify (/ 1 1) into 1
12.182 * [taylor]: Taking taylor expansion of 1/2 in k
12.182 * [backup-simplify]: Simplify 1/2 into 1/2
12.182 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
12.182 * [taylor]: Taking taylor expansion of (log -2) in k
12.182 * [taylor]: Taking taylor expansion of -2 in k
12.182 * [backup-simplify]: Simplify -2 into -2
12.182 * [backup-simplify]: Simplify (log -2) into (log -2)
12.182 * [taylor]: Taking taylor expansion of (log n) in k
12.182 * [taylor]: Taking taylor expansion of n in k
12.182 * [backup-simplify]: Simplify n into n
12.182 * [backup-simplify]: Simplify (log n) into (log n)
12.183 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.183 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.183 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
12.183 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
12.184 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
12.184 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
12.184 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.184 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
12.184 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
12.184 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.184 * [taylor]: Taking taylor expansion of 1/2 in k
12.184 * [backup-simplify]: Simplify 1/2 into 1/2
12.184 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.184 * [taylor]: Taking taylor expansion of k in k
12.184 * [backup-simplify]: Simplify 0 into 0
12.184 * [backup-simplify]: Simplify 1 into 1
12.184 * [backup-simplify]: Simplify (/ 1 1) into 1
12.184 * [taylor]: Taking taylor expansion of 1/2 in k
12.184 * [backup-simplify]: Simplify 1/2 into 1/2
12.184 * [taylor]: Taking taylor expansion of (log PI) in k
12.184 * [taylor]: Taking taylor expansion of PI in k
12.184 * [backup-simplify]: Simplify PI into PI
12.185 * [backup-simplify]: Simplify (log PI) into (log PI)
12.185 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.185 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.186 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.186 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.186 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.186 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.186 * [taylor]: Taking taylor expansion of -1 in k
12.186 * [backup-simplify]: Simplify -1 into -1
12.186 * [taylor]: Taking taylor expansion of k in k
12.186 * [backup-simplify]: Simplify 0 into 0
12.186 * [backup-simplify]: Simplify 1 into 1
12.187 * [backup-simplify]: Simplify (/ -1 1) into -1
12.187 * [backup-simplify]: Simplify (sqrt 0) into 0
12.188 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.188 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.188 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
12.189 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
12.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
12.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
12.191 * [backup-simplify]: Simplify (+ 0 0) into 0
12.191 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
12.192 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
12.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
12.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
12.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
12.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
12.194 * [backup-simplify]: Simplify (+ 0 0) into 0
12.195 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
12.195 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
12.196 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.197 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
12.197 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
12.197 * [taylor]: Taking taylor expansion of 0 in k
12.197 * [backup-simplify]: Simplify 0 into 0
12.197 * [backup-simplify]: Simplify 0 into 0
12.198 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
12.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.200 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.201 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.202 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
12.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
12.207 * [backup-simplify]: Simplify (+ 0 0) into 0
12.207 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
12.209 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.213 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
12.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
12.215 * [backup-simplify]: Simplify (+ 0 0) into 0
12.216 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
12.217 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
12.219 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.220 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
12.221 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.221 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
12.222 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
12.222 * [taylor]: Taking taylor expansion of 0 in k
12.222 * [backup-simplify]: Simplify 0 into 0
12.222 * [backup-simplify]: Simplify 0 into 0
12.222 * [backup-simplify]: Simplify 0 into 0
12.222 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
12.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.229 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.230 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.232 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
12.232 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
12.232 * [backup-simplify]: Simplify (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) into (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
12.232 * [approximate]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in (k) around 0
12.232 * [taylor]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in k
12.232 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 k)))) in k
12.232 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
12.232 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
12.232 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
12.232 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
12.233 * [taylor]: Taking taylor expansion of 1/2 in k
12.233 * [backup-simplify]: Simplify 1/2 into 1/2
12.233 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
12.233 * [taylor]: Taking taylor expansion of 1/2 in k
12.233 * [backup-simplify]: Simplify 1/2 into 1/2
12.233 * [taylor]: Taking taylor expansion of k in k
12.233 * [backup-simplify]: Simplify 0 into 0
12.233 * [backup-simplify]: Simplify 1 into 1
12.233 * [taylor]: Taking taylor expansion of (log PI) in k
12.233 * [taylor]: Taking taylor expansion of PI in k
12.233 * [backup-simplify]: Simplify PI into PI
12.233 * [backup-simplify]: Simplify (log PI) into (log PI)
12.233 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.233 * [backup-simplify]: Simplify (- 0) into 0
12.234 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.234 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.235 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
12.236 * [backup-simplify]: Simplify (/ 1 (pow PI 1/2)) into (sqrt (/ 1 PI))
12.236 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.236 * [taylor]: Taking taylor expansion of k in k
12.236 * [backup-simplify]: Simplify 0 into 0
12.236 * [backup-simplify]: Simplify 1 into 1
12.236 * [backup-simplify]: Simplify (sqrt 0) into 0
12.237 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.237 * [taylor]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in k
12.237 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 k)))) in k
12.237 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
12.237 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
12.237 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
12.237 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
12.237 * [taylor]: Taking taylor expansion of 1/2 in k
12.237 * [backup-simplify]: Simplify 1/2 into 1/2
12.237 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
12.237 * [taylor]: Taking taylor expansion of 1/2 in k
12.237 * [backup-simplify]: Simplify 1/2 into 1/2
12.237 * [taylor]: Taking taylor expansion of k in k
12.237 * [backup-simplify]: Simplify 0 into 0
12.237 * [backup-simplify]: Simplify 1 into 1
12.237 * [taylor]: Taking taylor expansion of (log PI) in k
12.237 * [taylor]: Taking taylor expansion of PI in k
12.237 * [backup-simplify]: Simplify PI into PI
12.238 * [backup-simplify]: Simplify (log PI) into (log PI)
12.238 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.238 * [backup-simplify]: Simplify (- 0) into 0
12.238 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.239 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.240 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
12.241 * [backup-simplify]: Simplify (/ 1 (pow PI 1/2)) into (sqrt (/ 1 PI))
12.241 * [taylor]: Taking taylor expansion of (sqrt k) in k
12.241 * [taylor]: Taking taylor expansion of k in k
12.241 * [backup-simplify]: Simplify 0 into 0
12.241 * [backup-simplify]: Simplify 1 into 1
12.241 * [backup-simplify]: Simplify (sqrt 0) into 0
12.242 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.242 * [backup-simplify]: Simplify (* (sqrt (/ 1 PI)) 0) into 0
12.242 * [backup-simplify]: Simplify 0 into 0
12.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
12.244 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.244 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.244 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
12.251 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
12.257 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 PI)) (/ (* -1/2 (* (log PI) (sqrt PI))) (pow PI 1/2))))) into (* 1/2 (* (log PI) (sqrt (/ 1 PI))))
12.260 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 PI)) +nan.0) (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) 0)) into (- (* +nan.0 (sqrt (/ 1 PI))))
12.262 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (/ 1 PI)))) into (- (* +nan.0 (sqrt (/ 1 PI))))
12.264 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.265 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
12.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
12.266 * [backup-simplify]: Simplify (- 0) into 0
12.266 * [backup-simplify]: Simplify (+ 0 0) into 0
12.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
12.279 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
12.302 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 PI)) (/ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow PI 1/2))) (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (/ (* -1/2 (* (log PI) (sqrt PI))) (pow PI 1/2))))) into (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI))))
12.310 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 PI)) +nan.0) (+ (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) +nan.0) (* (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) 0))) into (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI))))))
12.316 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))) into (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI))))))
12.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.322 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
12.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
12.323 * [backup-simplify]: Simplify (- 0) into 0
12.323 * [backup-simplify]: Simplify (+ 0 0) into 0
12.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
12.335 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
12.380 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 PI)) (/ (* -1/48 (* (pow (log PI) 3) (sqrt PI))) (pow PI 1/2))) (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (/ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow PI 1/2))) (* (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (/ (* -1/2 (* (log PI) (sqrt PI))) (pow PI 1/2))))) into (* 1/48 (* (pow (log PI) 3) (sqrt (/ 1 PI))))
12.395 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 PI)) +nan.0) (+ (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) +nan.0) (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) +nan.0) (* (* 1/48 (* (pow (log PI) 3) (sqrt (/ 1 PI)))) 0)))) into (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI))))))))
12.407 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))))) into (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI))))))))
12.440 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))))) (pow k 3)) (+ (* (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))) (pow k 2)) (* (- (* +nan.0 (sqrt (/ 1 PI)))) k))) into (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 3))) (- (+ (* +nan.0 (* (* (log PI) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log PI) 2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 2))))))))))))))
12.441 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow PI (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k)))
12.441 * [approximate]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k) around 0
12.441 * [taylor]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
12.441 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k
12.441 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
12.441 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
12.441 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
12.441 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.441 * [taylor]: Taking taylor expansion of 1/2 in k
12.441 * [backup-simplify]: Simplify 1/2 into 1/2
12.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.441 * [taylor]: Taking taylor expansion of 1/2 in k
12.441 * [backup-simplify]: Simplify 1/2 into 1/2
12.441 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.441 * [taylor]: Taking taylor expansion of k in k
12.441 * [backup-simplify]: Simplify 0 into 0
12.441 * [backup-simplify]: Simplify 1 into 1
12.444 * [backup-simplify]: Simplify (/ 1 1) into 1
12.445 * [taylor]: Taking taylor expansion of (log PI) in k
12.445 * [taylor]: Taking taylor expansion of PI in k
12.445 * [backup-simplify]: Simplify PI into PI
12.445 * [backup-simplify]: Simplify (log PI) into (log PI)
12.446 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.446 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.447 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.448 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
12.448 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.448 * [backup-simplify]: Simplify (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
12.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.448 * [taylor]: Taking taylor expansion of k in k
12.448 * [backup-simplify]: Simplify 0 into 0
12.448 * [backup-simplify]: Simplify 1 into 1
12.449 * [backup-simplify]: Simplify (/ 1 1) into 1
12.449 * [backup-simplify]: Simplify (sqrt 0) into 0
12.451 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.451 * [taylor]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
12.451 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k
12.451 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
12.451 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
12.451 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
12.451 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.451 * [taylor]: Taking taylor expansion of 1/2 in k
12.451 * [backup-simplify]: Simplify 1/2 into 1/2
12.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.451 * [taylor]: Taking taylor expansion of 1/2 in k
12.451 * [backup-simplify]: Simplify 1/2 into 1/2
12.451 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.451 * [taylor]: Taking taylor expansion of k in k
12.451 * [backup-simplify]: Simplify 0 into 0
12.451 * [backup-simplify]: Simplify 1 into 1
12.451 * [backup-simplify]: Simplify (/ 1 1) into 1
12.451 * [taylor]: Taking taylor expansion of (log PI) in k
12.451 * [taylor]: Taking taylor expansion of PI in k
12.451 * [backup-simplify]: Simplify PI into PI
12.452 * [backup-simplify]: Simplify (log PI) into (log PI)
12.452 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.453 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.453 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.454 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
12.455 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
12.455 * [backup-simplify]: Simplify (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
12.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
12.455 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.455 * [taylor]: Taking taylor expansion of k in k
12.455 * [backup-simplify]: Simplify 0 into 0
12.455 * [backup-simplify]: Simplify 1 into 1
12.455 * [backup-simplify]: Simplify (/ 1 1) into 1
12.456 * [backup-simplify]: Simplify (sqrt 0) into 0
12.457 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.457 * [backup-simplify]: Simplify (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
12.457 * [backup-simplify]: Simplify 0 into 0
12.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
12.458 * [backup-simplify]: Simplify (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
12.458 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
12.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.461 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
12.462 * [backup-simplify]: Simplify (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
12.462 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
12.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
12.466 * [backup-simplify]: Simplify (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
12.466 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
12.467 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (/ 1 k)) (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))))) into (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))
12.467 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.467 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (k) around 0
12.467 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
12.467 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.467 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.467 * [taylor]: Taking taylor expansion of -1 in k
12.467 * [backup-simplify]: Simplify -1 into -1
12.467 * [taylor]: Taking taylor expansion of k in k
12.467 * [backup-simplify]: Simplify 0 into 0
12.467 * [backup-simplify]: Simplify 1 into 1
12.467 * [backup-simplify]: Simplify (/ -1 1) into -1
12.468 * [backup-simplify]: Simplify (sqrt 0) into 0
12.468 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.468 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.468 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
12.468 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
12.468 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.468 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.468 * [taylor]: Taking taylor expansion of 1/2 in k
12.468 * [backup-simplify]: Simplify 1/2 into 1/2
12.468 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.469 * [taylor]: Taking taylor expansion of k in k
12.469 * [backup-simplify]: Simplify 0 into 0
12.469 * [backup-simplify]: Simplify 1 into 1
12.469 * [backup-simplify]: Simplify (/ 1 1) into 1
12.469 * [taylor]: Taking taylor expansion of 1/2 in k
12.469 * [backup-simplify]: Simplify 1/2 into 1/2
12.469 * [taylor]: Taking taylor expansion of (log PI) in k
12.469 * [taylor]: Taking taylor expansion of PI in k
12.469 * [backup-simplify]: Simplify PI into PI
12.469 * [backup-simplify]: Simplify (log PI) into (log PI)
12.469 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.470 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.470 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.471 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.471 * [backup-simplify]: Simplify (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.471 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
12.471 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
12.471 * [taylor]: Taking taylor expansion of (/ -1 k) in k
12.471 * [taylor]: Taking taylor expansion of -1 in k
12.471 * [backup-simplify]: Simplify -1 into -1
12.471 * [taylor]: Taking taylor expansion of k in k
12.471 * [backup-simplify]: Simplify 0 into 0
12.471 * [backup-simplify]: Simplify 1 into 1
12.471 * [backup-simplify]: Simplify (/ -1 1) into -1
12.471 * [backup-simplify]: Simplify (sqrt 0) into 0
12.472 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
12.472 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
12.472 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
12.472 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
12.472 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
12.472 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.472 * [taylor]: Taking taylor expansion of 1/2 in k
12.472 * [backup-simplify]: Simplify 1/2 into 1/2
12.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.472 * [taylor]: Taking taylor expansion of k in k
12.472 * [backup-simplify]: Simplify 0 into 0
12.472 * [backup-simplify]: Simplify 1 into 1
12.473 * [backup-simplify]: Simplify (/ 1 1) into 1
12.473 * [taylor]: Taking taylor expansion of 1/2 in k
12.473 * [backup-simplify]: Simplify 1/2 into 1/2
12.473 * [taylor]: Taking taylor expansion of (log PI) in k
12.473 * [taylor]: Taking taylor expansion of PI in k
12.473 * [backup-simplify]: Simplify PI into PI
12.473 * [backup-simplify]: Simplify (log PI) into (log PI)
12.473 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.474 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.474 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
12.474 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
12.475 * [backup-simplify]: Simplify (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.475 * [backup-simplify]: Simplify (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
12.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.477 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.477 * [backup-simplify]: Simplify (- (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.477 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.481 * [backup-simplify]: Simplify (- (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.481 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
12.482 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (/ 1 (- k))) (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) into (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))
12.482 * * * [progress]: simplifying candidates
12.482 * * * * [progress]: [ 1 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 2 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 3 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 4 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 5 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 6 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 7 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 8 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 9 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 10 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 11 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 12 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 13 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 14 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 15 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 16 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 17 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.482 * * * * [progress]: [ 18 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.483 * * * * [progress]: [ 19 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.483 * * * * [progress]: [ 20 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.483 * * * * [progress]: [ 21 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.483 * * * * [progress]: [ 22 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.483 * * * * [progress]: [ 23 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.483 * * * * [progress]: [ 24 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.483 * * * * [progress]: [ 25 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log PI) (- 1/2 (/ k 2)))))))>
12.483 * * * * [progress]: [ 26 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log PI) (- 1/2 (/ k 2)))))))>
12.483 * * * * [progress]: [ 27 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (* 1 (- 1/2 (/ k 2)))))))>
12.483 * * * * [progress]: [ 28 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (/ (pow PI 1/2) (pow PI (/ k 2))))))>
12.483 * * * * [progress]: [ 29 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))>
12.483 * * * * [progress]: [ 30 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
12.483 * * * * [progress]: [ 31 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI 1) (- 1/2 (/ k 2))))))>
12.483 * * * * [progress]: [ 32 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))))>
12.483 * * * * [progress]: [ 33 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))))))>
12.483 * * * * [progress]: [ 34 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI 1) (- 1/2 (/ k 2))))))>
12.483 * * * * [progress]: [ 35 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow PI 1/2) (pow PI (- (/ k 2)))))))>
12.483 * * * * [progress]: [ 36 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow PI 1/2) (pow PI (- (/ k 2)))))))>
12.483 * * * * [progress]: [ 37 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.483 * * * * [progress]: [ 38 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (sqrt PI) (- 1/2 (/ k 2))) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.483 * * * * [progress]: [ 39 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow 1 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
12.483 * * * * [progress]: [ 40 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (- 1/2 (/ k 2))) 1))))>
12.483 * * * * [progress]: [ 41 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (exp (log (pow PI (- 1/2 (/ k 2))))))))>
12.483 * * * * [progress]: [ 42 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (log (exp (pow PI (- 1/2 (/ k 2))))))))>
12.483 * * * * [progress]: [ 43 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.484 * * * * [progress]: [ 44 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))))>
12.484 * * * * [progress]: [ 45 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.484 * * * * [progress]: [ 46 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* 1 (pow PI (- 1/2 (/ k 2)))))))>
12.484 * * * * [progress]: [ 47 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow PI (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.484 * * * * [progress]: [ 48 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (posit16->real (real->posit16 (pow PI (- 1/2 (/ k 2))))))))>
12.484 * * * * [progress]: [ 49 / 655 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1))>
12.484 * * * * [progress]: [ 50 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.484 * * * * [progress]: [ 51 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.484 * * * * [progress]: [ 52 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
12.484 * * * * [progress]: [ 53 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.484 * * * * [progress]: [ 54 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.484 * * * * [progress]: [ 55 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.484 * * * * [progress]: [ 56 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
12.484 * * * * [progress]: [ 57 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.484 * * * * [progress]: [ 58 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.484 * * * * [progress]: [ 59 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.484 * * * * [progress]: [ 60 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
12.484 * * * * [progress]: [ 61 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.484 * * * * [progress]: [ 62 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.484 * * * * [progress]: [ 63 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.484 * * * * [progress]: [ 64 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
12.484 * * * * [progress]: [ 65 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.484 * * * * [progress]: [ 66 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.484 * * * * [progress]: [ 67 / 655 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.485 * * * * [progress]: [ 68 / 655 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))))>
12.485 * * * * [progress]: [ 69 / 655 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.485 * * * * [progress]: [ 70 / 655 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.485 * * * * [progress]: [ 71 / 655 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.485 * * * * [progress]: [ 72 / 655 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.485 * * * * [progress]: [ 73 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n 2) (- 1/2 (/ k 2)))) (- (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.485 * * * * [progress]: [ 74 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.485 * * * * [progress]: [ 75 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.485 * * * * [progress]: [ 76 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.485 * * * * [progress]: [ 77 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.485 * * * * [progress]: [ 78 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.485 * * * * [progress]: [ 79 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.485 * * * * [progress]: [ 80 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.485 * * * * [progress]: [ 81 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.485 * * * * [progress]: [ 82 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.485 * * * * [progress]: [ 83 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.485 * * * * [progress]: [ 84 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.485 * * * * [progress]: [ 85 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.485 * * * * [progress]: [ 86 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.485 * * * * [progress]: [ 87 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.485 * * * * [progress]: [ 88 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.486 * * * * [progress]: [ 89 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.486 * * * * [progress]: [ 90 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.486 * * * * [progress]: [ 91 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.486 * * * * [progress]: [ 92 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.486 * * * * [progress]: [ 93 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.486 * * * * [progress]: [ 94 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.486 * * * * [progress]: [ 95 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.486 * * * * [progress]: [ 96 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.486 * * * * [progress]: [ 97 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.486 * * * * [progress]: [ 98 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.486 * * * * [progress]: [ 99 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.486 * * * * [progress]: [ 100 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.486 * * * * [progress]: [ 101 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.486 * * * * [progress]: [ 102 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.486 * * * * [progress]: [ 103 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.486 * * * * [progress]: [ 104 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.486 * * * * [progress]: [ 105 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.486 * * * * [progress]: [ 106 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.486 * * * * [progress]: [ 107 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.486 * * * * [progress]: [ 108 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.486 * * * * [progress]: [ 109 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.487 * * * * [progress]: [ 110 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.487 * * * * [progress]: [ 111 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.487 * * * * [progress]: [ 112 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.487 * * * * [progress]: [ 113 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.487 * * * * [progress]: [ 114 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.487 * * * * [progress]: [ 115 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.487 * * * * [progress]: [ 116 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.487 * * * * [progress]: [ 117 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.487 * * * * [progress]: [ 118 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.487 * * * * [progress]: [ 119 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.487 * * * * [progress]: [ 120 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.487 * * * * [progress]: [ 121 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.487 * * * * [progress]: [ 122 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.487 * * * * [progress]: [ 123 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.487 * * * * [progress]: [ 124 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.487 * * * * [progress]: [ 125 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.487 * * * * [progress]: [ 126 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.487 * * * * [progress]: [ 127 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.487 * * * * [progress]: [ 128 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.487 * * * * [progress]: [ 129 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.487 * * * * [progress]: [ 130 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) 1) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.488 * * * * [progress]: [ 131 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.488 * * * * [progress]: [ 132 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt k) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2)))))>
12.488 * * * * [progress]: [ 133 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.488 * * * * [progress]: [ 134 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.488 * * * * [progress]: [ 135 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.488 * * * * [progress]: [ 136 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.488 * * * * [progress]: [ 137 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.488 * * * * [progress]: [ 138 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.488 * * * * [progress]: [ 139 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.488 * * * * [progress]: [ 140 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.488 * * * * [progress]: [ 141 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.488 * * * * [progress]: [ 142 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.488 * * * * [progress]: [ 143 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.488 * * * * [progress]: [ 144 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.488 * * * * [progress]: [ 145 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.488 * * * * [progress]: [ 146 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.488 * * * * [progress]: [ 147 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.488 * * * * [progress]: [ 148 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.488 * * * * [progress]: [ 149 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.488 * * * * [progress]: [ 150 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.488 * * * * [progress]: [ 151 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.489 * * * * [progress]: [ 152 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.489 * * * * [progress]: [ 153 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.489 * * * * [progress]: [ 154 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.489 * * * * [progress]: [ 155 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.489 * * * * [progress]: [ 156 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.489 * * * * [progress]: [ 157 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.489 * * * * [progress]: [ 158 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.489 * * * * [progress]: [ 159 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.489 * * * * [progress]: [ 160 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.489 * * * * [progress]: [ 161 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.489 * * * * [progress]: [ 162 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.489 * * * * [progress]: [ 163 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.489 * * * * [progress]: [ 164 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.489 * * * * [progress]: [ 165 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.490 * * * * [progress]: [ 166 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.490 * * * * [progress]: [ 167 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.490 * * * * [progress]: [ 168 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.490 * * * * [progress]: [ 169 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.490 * * * * [progress]: [ 170 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.490 * * * * [progress]: [ 171 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.490 * * * * [progress]: [ 172 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.490 * * * * [progress]: [ 173 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.490 * * * * [progress]: [ 174 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.490 * * * * [progress]: [ 175 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.490 * * * * [progress]: [ 176 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.490 * * * * [progress]: [ 177 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.490 * * * * [progress]: [ 178 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.490 * * * * [progress]: [ 179 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.490 * * * * [progress]: [ 180 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.491 * * * * [progress]: [ 181 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.491 * * * * [progress]: [ 182 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.491 * * * * [progress]: [ 183 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.491 * * * * [progress]: [ 184 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.491 * * * * [progress]: [ 185 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.491 * * * * [progress]: [ 186 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.491 * * * * [progress]: [ 187 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.491 * * * * [progress]: [ 188 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.491 * * * * [progress]: [ 189 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) 1) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.491 * * * * [progress]: [ 190 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.491 * * * * [progress]: [ 191 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt k) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2)))))>
12.491 * * * * [progress]: [ 192 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.491 * * * * [progress]: [ 193 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.491 * * * * [progress]: [ 194 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.492 * * * * [progress]: [ 195 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.492 * * * * [progress]: [ 196 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.492 * * * * [progress]: [ 197 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.492 * * * * [progress]: [ 198 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.492 * * * * [progress]: [ 199 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.492 * * * * [progress]: [ 200 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.492 * * * * [progress]: [ 201 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.492 * * * * [progress]: [ 202 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.492 * * * * [progress]: [ 203 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.492 * * * * [progress]: [ 204 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.492 * * * * [progress]: [ 205 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.492 * * * * [progress]: [ 206 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.492 * * * * [progress]: [ 207 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.492 * * * * [progress]: [ 208 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.493 * * * * [progress]: [ 209 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.493 * * * * [progress]: [ 210 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.493 * * * * [progress]: [ 211 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.493 * * * * [progress]: [ 212 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.493 * * * * [progress]: [ 213 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.493 * * * * [progress]: [ 214 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.493 * * * * [progress]: [ 215 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.493 * * * * [progress]: [ 216 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.493 * * * * [progress]: [ 217 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.493 * * * * [progress]: [ 218 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.494 * * * * [progress]: [ 219 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.494 * * * * [progress]: [ 220 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.494 * * * * [progress]: [ 221 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.494 * * * * [progress]: [ 222 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.494 * * * * [progress]: [ 223 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.494 * * * * [progress]: [ 224 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.494 * * * * [progress]: [ 225 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.494 * * * * [progress]: [ 226 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.494 * * * * [progress]: [ 227 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.494 * * * * [progress]: [ 228 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.494 * * * * [progress]: [ 229 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.494 * * * * [progress]: [ 230 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.494 * * * * [progress]: [ 231 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.494 * * * * [progress]: [ 232 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.494 * * * * [progress]: [ 233 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.495 * * * * [progress]: [ 234 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.495 * * * * [progress]: [ 235 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.495 * * * * [progress]: [ 236 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.495 * * * * [progress]: [ 237 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.495 * * * * [progress]: [ 238 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.495 * * * * [progress]: [ 239 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.495 * * * * [progress]: [ 240 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.495 * * * * [progress]: [ 241 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.495 * * * * [progress]: [ 242 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.495 * * * * [progress]: [ 243 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.495 * * * * [progress]: [ 244 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.495 * * * * [progress]: [ 245 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.495 * * * * [progress]: [ 246 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.495 * * * * [progress]: [ 247 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.495 * * * * [progress]: [ 248 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) 1) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.495 * * * * [progress]: [ 249 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.496 * * * * [progress]: [ 250 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
12.496 * * * * [progress]: [ 251 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.496 * * * * [progress]: [ 252 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.496 * * * * [progress]: [ 253 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.496 * * * * [progress]: [ 254 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.496 * * * * [progress]: [ 255 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.496 * * * * [progress]: [ 256 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.496 * * * * [progress]: [ 257 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.496 * * * * [progress]: [ 258 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.496 * * * * [progress]: [ 259 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.496 * * * * [progress]: [ 260 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.496 * * * * [progress]: [ 261 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.496 * * * * [progress]: [ 262 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.497 * * * * [progress]: [ 263 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.497 * * * * [progress]: [ 264 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.497 * * * * [progress]: [ 265 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.497 * * * * [progress]: [ 266 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.497 * * * * [progress]: [ 267 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.497 * * * * [progress]: [ 268 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.497 * * * * [progress]: [ 269 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.497 * * * * [progress]: [ 270 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.497 * * * * [progress]: [ 271 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.497 * * * * [progress]: [ 272 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.497 * * * * [progress]: [ 273 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.497 * * * * [progress]: [ 274 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.497 * * * * [progress]: [ 275 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.497 * * * * [progress]: [ 276 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.498 * * * * [progress]: [ 277 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.498 * * * * [progress]: [ 278 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.498 * * * * [progress]: [ 279 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.498 * * * * [progress]: [ 280 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.498 * * * * [progress]: [ 281 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.498 * * * * [progress]: [ 282 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.498 * * * * [progress]: [ 283 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.498 * * * * [progress]: [ 284 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.498 * * * * [progress]: [ 285 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.498 * * * * [progress]: [ 286 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.498 * * * * [progress]: [ 287 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.498 * * * * [progress]: [ 288 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.498 * * * * [progress]: [ 289 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.498 * * * * [progress]: [ 290 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.499 * * * * [progress]: [ 291 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.499 * * * * [progress]: [ 292 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.499 * * * * [progress]: [ 293 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.499 * * * * [progress]: [ 294 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.499 * * * * [progress]: [ 295 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.499 * * * * [progress]: [ 296 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.499 * * * * [progress]: [ 297 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.499 * * * * [progress]: [ 298 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.499 * * * * [progress]: [ 299 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.499 * * * * [progress]: [ 300 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.499 * * * * [progress]: [ 301 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.499 * * * * [progress]: [ 302 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.499 * * * * [progress]: [ 303 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.499 * * * * [progress]: [ 304 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.500 * * * * [progress]: [ 305 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.500 * * * * [progress]: [ 306 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.500 * * * * [progress]: [ 307 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.500 * * * * [progress]: [ 308 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.500 * * * * [progress]: [ 309 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))))>
12.500 * * * * [progress]: [ 310 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.500 * * * * [progress]: [ 311 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.500 * * * * [progress]: [ 312 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.500 * * * * [progress]: [ 313 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.500 * * * * [progress]: [ 314 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.500 * * * * [progress]: [ 315 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.500 * * * * [progress]: [ 316 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.500 * * * * [progress]: [ 317 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.500 * * * * [progress]: [ 318 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.501 * * * * [progress]: [ 319 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.501 * * * * [progress]: [ 320 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.501 * * * * [progress]: [ 321 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.501 * * * * [progress]: [ 322 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.501 * * * * [progress]: [ 323 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.501 * * * * [progress]: [ 324 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.501 * * * * [progress]: [ 325 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.501 * * * * [progress]: [ 326 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.501 * * * * [progress]: [ 327 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.501 * * * * [progress]: [ 328 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.501 * * * * [progress]: [ 329 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.501 * * * * [progress]: [ 330 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.501 * * * * [progress]: [ 331 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.501 * * * * [progress]: [ 332 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.501 * * * * [progress]: [ 333 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.502 * * * * [progress]: [ 334 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.502 * * * * [progress]: [ 335 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.502 * * * * [progress]: [ 336 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.502 * * * * [progress]: [ 337 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.502 * * * * [progress]: [ 338 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.502 * * * * [progress]: [ 339 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.502 * * * * [progress]: [ 340 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.502 * * * * [progress]: [ 341 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.502 * * * * [progress]: [ 342 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.502 * * * * [progress]: [ 343 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.502 * * * * [progress]: [ 344 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.502 * * * * [progress]: [ 345 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.502 * * * * [progress]: [ 346 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.502 * * * * [progress]: [ 347 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.502 * * * * [progress]: [ 348 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.503 * * * * [progress]: [ 349 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.503 * * * * [progress]: [ 350 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.503 * * * * [progress]: [ 351 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.503 * * * * [progress]: [ 352 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.503 * * * * [progress]: [ 353 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.503 * * * * [progress]: [ 354 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.503 * * * * [progress]: [ 355 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.503 * * * * [progress]: [ 356 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.503 * * * * [progress]: [ 357 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.503 * * * * [progress]: [ 358 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.503 * * * * [progress]: [ 359 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.503 * * * * [progress]: [ 360 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.503 * * * * [progress]: [ 361 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.503 * * * * [progress]: [ 362 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.503 * * * * [progress]: [ 363 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.504 * * * * [progress]: [ 364 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.504 * * * * [progress]: [ 365 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.504 * * * * [progress]: [ 366 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.504 * * * * [progress]: [ 367 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.504 * * * * [progress]: [ 368 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))))>
12.504 * * * * [progress]: [ 369 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.504 * * * * [progress]: [ 370 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.504 * * * * [progress]: [ 371 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.504 * * * * [progress]: [ 372 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.504 * * * * [progress]: [ 373 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.504 * * * * [progress]: [ 374 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.504 * * * * [progress]: [ 375 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.504 * * * * [progress]: [ 376 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.504 * * * * [progress]: [ 377 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.504 * * * * [progress]: [ 378 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.505 * * * * [progress]: [ 379 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.505 * * * * [progress]: [ 380 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.505 * * * * [progress]: [ 381 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.505 * * * * [progress]: [ 382 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.505 * * * * [progress]: [ 383 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.505 * * * * [progress]: [ 384 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.505 * * * * [progress]: [ 385 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.505 * * * * [progress]: [ 386 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.505 * * * * [progress]: [ 387 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.505 * * * * [progress]: [ 388 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.505 * * * * [progress]: [ 389 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.505 * * * * [progress]: [ 390 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.506 * * * * [progress]: [ 391 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.506 * * * * [progress]: [ 392 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.506 * * * * [progress]: [ 393 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.506 * * * * [progress]: [ 394 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.506 * * * * [progress]: [ 395 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.506 * * * * [progress]: [ 396 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.506 * * * * [progress]: [ 397 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.506 * * * * [progress]: [ 398 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.506 * * * * [progress]: [ 399 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.506 * * * * [progress]: [ 400 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.506 * * * * [progress]: [ 401 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.506 * * * * [progress]: [ 402 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.506 * * * * [progress]: [ 403 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.507 * * * * [progress]: [ 404 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.507 * * * * [progress]: [ 405 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.507 * * * * [progress]: [ 406 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.507 * * * * [progress]: [ 407 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.507 * * * * [progress]: [ 408 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.507 * * * * [progress]: [ 409 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.507 * * * * [progress]: [ 410 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.507 * * * * [progress]: [ 411 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.507 * * * * [progress]: [ 412 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.507 * * * * [progress]: [ 413 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.507 * * * * [progress]: [ 414 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.507 * * * * [progress]: [ 415 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.507 * * * * [progress]: [ 416 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.508 * * * * [progress]: [ 417 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.508 * * * * [progress]: [ 418 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.508 * * * * [progress]: [ 419 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.508 * * * * [progress]: [ 420 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.508 * * * * [progress]: [ 421 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.509 * * * * [progress]: [ 422 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.509 * * * * [progress]: [ 423 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.509 * * * * [progress]: [ 424 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.509 * * * * [progress]: [ 425 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.509 * * * * [progress]: [ 426 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.509 * * * * [progress]: [ 427 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
12.509 * * * * [progress]: [ 428 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.509 * * * * [progress]: [ 429 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.509 * * * * [progress]: [ 430 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.509 * * * * [progress]: [ 431 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.509 * * * * [progress]: [ 432 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.510 * * * * [progress]: [ 433 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.510 * * * * [progress]: [ 434 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.510 * * * * [progress]: [ 435 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.510 * * * * [progress]: [ 436 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.510 * * * * [progress]: [ 437 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.510 * * * * [progress]: [ 438 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.510 * * * * [progress]: [ 439 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.510 * * * * [progress]: [ 440 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.510 * * * * [progress]: [ 441 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.510 * * * * [progress]: [ 442 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.510 * * * * [progress]: [ 443 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.511 * * * * [progress]: [ 444 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.511 * * * * [progress]: [ 445 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.511 * * * * [progress]: [ 446 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.511 * * * * [progress]: [ 447 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.511 * * * * [progress]: [ 448 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.511 * * * * [progress]: [ 449 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.511 * * * * [progress]: [ 450 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.511 * * * * [progress]: [ 451 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.511 * * * * [progress]: [ 452 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.511 * * * * [progress]: [ 453 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.511 * * * * [progress]: [ 454 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.511 * * * * [progress]: [ 455 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.512 * * * * [progress]: [ 456 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.512 * * * * [progress]: [ 457 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.512 * * * * [progress]: [ 458 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.512 * * * * [progress]: [ 459 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.512 * * * * [progress]: [ 460 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.512 * * * * [progress]: [ 461 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.512 * * * * [progress]: [ 462 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.512 * * * * [progress]: [ 463 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.512 * * * * [progress]: [ 464 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.512 * * * * [progress]: [ 465 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.512 * * * * [progress]: [ 466 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.512 * * * * [progress]: [ 467 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.513 * * * * [progress]: [ 468 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.513 * * * * [progress]: [ 469 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.513 * * * * [progress]: [ 470 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.513 * * * * [progress]: [ 471 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.513 * * * * [progress]: [ 472 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.513 * * * * [progress]: [ 473 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.513 * * * * [progress]: [ 474 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.513 * * * * [progress]: [ 475 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.513 * * * * [progress]: [ 476 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.513 * * * * [progress]: [ 477 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.513 * * * * [progress]: [ 478 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.513 * * * * [progress]: [ 479 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.513 * * * * [progress]: [ 480 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.514 * * * * [progress]: [ 481 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.514 * * * * [progress]: [ 482 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.514 * * * * [progress]: [ 483 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.514 * * * * [progress]: [ 484 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.514 * * * * [progress]: [ 485 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt k)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.514 * * * * [progress]: [ 486 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ k 2)))))>
12.514 * * * * [progress]: [ 487 / 655 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.514 * * * * [progress]: [ 488 / 655 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.514 * * * * [progress]: [ 489 / 655 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))>
12.514 * * * * [progress]: [ 490 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.514 * * * * [progress]: [ 491 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.514 * * * * [progress]: [ 492 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))>
12.514 * * * * [progress]: [ 493 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))>
12.515 * * * * [progress]: [ 494 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
12.515 * * * * [progress]: [ 495 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
12.515 * * * * [progress]: [ 496 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.515 * * * * [progress]: [ 497 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
12.515 * * * * [progress]: [ 498 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
12.515 * * * * [progress]: [ 499 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.515 * * * * [progress]: [ 500 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
12.515 * * * * [progress]: [ 501 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2))))))>
12.515 * * * * [progress]: [ 502 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2))))))>
12.515 * * * * [progress]: [ 503 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
12.515 * * * * [progress]: [ 504 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
12.515 * * * * [progress]: [ 505 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.515 * * * * [progress]: [ 506 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
12.516 * * * * [progress]: [ 507 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
12.516 * * * * [progress]: [ 508 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.516 * * * * [progress]: [ 509 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
12.516 * * * * [progress]: [ 510 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))>
12.516 * * * * [progress]: [ 511 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))>
12.516 * * * * [progress]: [ 512 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
12.516 * * * * [progress]: [ 513 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
12.516 * * * * [progress]: [ 514 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.516 * * * * [progress]: [ 515 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
12.517 * * * * [progress]: [ 516 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
12.517 * * * * [progress]: [ 517 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.517 * * * * [progress]: [ 518 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
12.517 * * * * [progress]: [ 519 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))>
12.517 * * * * [progress]: [ 520 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))>
12.517 * * * * [progress]: [ 521 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
12.517 * * * * [progress]: [ 522 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
12.517 * * * * [progress]: [ 523 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.517 * * * * [progress]: [ 524 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
12.517 * * * * [progress]: [ 525 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
12.517 * * * * [progress]: [ 526 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) 1)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.517 * * * * [progress]: [ 527 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
12.517 * * * * [progress]: [ 528 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))>
12.518 * * * * [progress]: [ 529 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))>
12.518 * * * * [progress]: [ 530 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
12.518 * * * * [progress]: [ 531 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
12.518 * * * * [progress]: [ 532 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.518 * * * * [progress]: [ 533 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
12.518 * * * * [progress]: [ 534 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
12.518 * * * * [progress]: [ 535 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
12.518 * * * * [progress]: [ 536 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
12.518 * * * * [progress]: [ 537 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))>
12.518 * * * * [progress]: [ 538 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))>
12.518 * * * * [progress]: [ 539 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
12.518 * * * * [progress]: [ 540 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
12.518 * * * * [progress]: [ 541 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.519 * * * * [progress]: [ 542 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
12.519 * * * * [progress]: [ 543 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
12.519 * * * * [progress]: [ 544 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 1)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.519 * * * * [progress]: [ 545 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
12.519 * * * * [progress]: [ 546 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.519 * * * * [progress]: [ 547 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))>
12.519 * * * * [progress]: [ 548 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI 1/2))) (pow PI (/ k 2))))>
12.519 * * * * [progress]: [ 549 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) 1/2) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- (/ k 2))))))>
12.519 * * * * [progress]: [ 550 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) 1/2) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- (/ k 2))))))>
12.519 * * * * [progress]: [ 551 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))>
12.519 * * * * [progress]: [ 552 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))>
12.519 * * * * [progress]: [ 553 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))>
12.519 * * * * [progress]: [ 554 / 655 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))>
12.519 * * * * [progress]: [ 555 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)))))>
12.520 * * * * [progress]: [ 556 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))>
12.520 * * * * [progress]: [ 557 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) 1/2) (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2)))))>
12.520 * * * * [progress]: [ 558 / 655 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.520 * * * * [progress]: [ 559 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1)))>
12.520 * * * * [progress]: [ 560 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.520 * * * * [progress]: [ 561 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
12.520 * * * * [progress]: [ 562 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
12.520 * * * * [progress]: [ 563 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.520 * * * * [progress]: [ 564 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (log (exp (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.520 * * * * [progress]: [ 565 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))))>
12.520 * * * * [progress]: [ 566 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.520 * * * * [progress]: [ 567 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (* (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.520 * * * * [progress]: [ 568 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.520 * * * * [progress]: [ 569 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (- (sqrt k)) (- (pow PI (- 1/2 (/ k 2)))))))>
12.521 * * * * [progress]: [ 570 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.521 * * * * [progress]: [ 571 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.521 * * * * [progress]: [ 572 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.521 * * * * [progress]: [ 573 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.521 * * * * [progress]: [ 574 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.521 * * * * [progress]: [ 575 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.521 * * * * [progress]: [ 576 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.521 * * * * [progress]: [ 577 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.521 * * * * [progress]: [ 578 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.521 * * * * [progress]: [ 579 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2)) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.521 * * * * [progress]: [ 580 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2)) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
12.521 * * * * [progress]: [ 581 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.522 * * * * [progress]: [ 582 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.522 * * * * [progress]: [ 583 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.522 * * * * [progress]: [ 584 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.522 * * * * [progress]: [ 585 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.522 * * * * [progress]: [ 586 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.522 * * * * [progress]: [ 587 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.522 * * * * [progress]: [ 588 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI 1/2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.522 * * * * [progress]: [ 589 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI 1/2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.522 * * * * [progress]: [ 590 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.522 * * * * [progress]: [ 591 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.522 * * * * [progress]: [ 592 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.522 * * * * [progress]: [ 593 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.522 * * * * [progress]: [ 594 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.523 * * * * [progress]: [ 595 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.523 * * * * [progress]: [ 596 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.523 * * * * [progress]: [ 597 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow PI 1/2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.523 * * * * [progress]: [ 598 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow PI 1/2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.523 * * * * [progress]: [ 599 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.523 * * * * [progress]: [ 600 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.523 * * * * [progress]: [ 601 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.523 * * * * [progress]: [ 602 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.523 * * * * [progress]: [ 603 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.523 * * * * [progress]: [ 604 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.523 * * * * [progress]: [ 605 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.523 * * * * [progress]: [ 606 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI 1/2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.523 * * * * [progress]: [ 607 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI 1/2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
12.524 * * * * [progress]: [ 608 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.524 * * * * [progress]: [ 609 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.524 * * * * [progress]: [ 610 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.524 * * * * [progress]: [ 611 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.524 * * * * [progress]: [ 612 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.524 * * * * [progress]: [ 613 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
12.524 * * * * [progress]: [ 614 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.524 * * * * [progress]: [ 615 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow PI 1/2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.524 * * * * [progress]: [ 616 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow PI 1/2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
12.524 * * * * [progress]: [ 617 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
12.524 * * * * [progress]: [ 618 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
12.524 * * * * [progress]: [ 619 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.524 * * * * [progress]: [ 620 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
12.525 * * * * [progress]: [ 621 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
12.525 * * * * [progress]: [ 622 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.525 * * * * [progress]: [ 623 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
12.525 * * * * [progress]: [ 624 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
12.525 * * * * [progress]: [ 625 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt k) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
12.525 * * * * [progress]: [ 626 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
12.525 * * * * [progress]: [ 627 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI 1/2)) (pow PI (- (/ k 2))))))>
12.525 * * * * [progress]: [ 628 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI 1/2)) (pow PI (- (/ k 2))))))>
12.525 * * * * [progress]: [ 629 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
12.525 * * * * [progress]: [ 630 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
12.525 * * * * [progress]: [ 631 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow 1 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))>
12.525 * * * * [progress]: [ 632 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
12.525 * * * * [progress]: [ 633 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
12.525 * * * * [progress]: [ 634 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) 1) (pow PI (- 1/2 (/ k 2))))))>
12.526 * * * * [progress]: [ 635 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
12.526 * * * * [progress]: [ 636 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
12.526 * * * * [progress]: [ 637 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
12.526 * * * * [progress]: [ 638 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
12.526 * * * * [progress]: [ 639 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
12.526 * * * * [progress]: [ 640 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
12.526 * * * * [progress]: [ 641 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
12.526 * * * * [progress]: [ 642 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt k) (pow PI 1/2)) (pow PI (/ k 2)))))>
12.526 * * * * [progress]: [ 643 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (posit16->real (real->posit16 (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
12.526 * * * * [progress]: [ 644 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.526 * * * * [progress]: [ 645 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.526 * * * * [progress]: [ 646 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
12.526 * * * * [progress]: [ 647 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))))))>
12.526 * * * * [progress]: [ 648 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))))>
12.527 * * * * [progress]: [ 649 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))))>
12.527 * * * * [progress]: [ 650 / 655 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI)))))))))))))))))))))))))))))))))>
12.527 * * * * [progress]: [ 651 / 655 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))))>
12.527 * * * * [progress]: [ 652 / 655 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))))>
12.527 * * * * [progress]: [ 653 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 3))) (- (+ (* +nan.0 (* (* (log PI) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log PI) 2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 2))))))))))))))))>
12.527 * * * * [progress]: [ 654 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))))>
12.527 * * * * [progress]: [ 655 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))))>
12.547 * [simplify]: Simplifying:
  (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (/ k 2))
  (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n 2) (sqrt (- 1/2 (/ k 2))))
  (pow (* n 2) 1)
  (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n 2) 1)
  (pow (* n 2) 1/2)
  (pow (* n 2) (- (/ k 2)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (log (pow (* n 2) (- 1/2 (/ k 2))))
  (exp (pow (* n 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
  (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow PI 1/2)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  (pow PI 1)
  (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow PI 1)
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow 1 (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow PI (- 1/2 (/ k 2))))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))
  (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))
  (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (exp (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))
  (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
  (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (- (pow (* n 2) (- 1/2 (/ k 2))))
  (- (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
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  (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI 1/2)))
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  (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2)))))
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  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))
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  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
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  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2)))))
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  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) 1))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow 1 (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 1))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) 1)
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI 1/2)))
  (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- (/ k 2))))
  (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- (/ k 2))))
  (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))
  (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
  (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2)))
  (real->posit16 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2)))))
  (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (exp (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))
  (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
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  (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
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  (- (pow PI (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))
  (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))
  (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
  (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))
  (/ (sqrt (cbrt k)) (pow PI (- (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))
  (/ (sqrt (cbrt k)) (pow PI (- (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
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  (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
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  (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
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  (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2))))
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  (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))
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  (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
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  (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
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  (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
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  (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
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  (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
  (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
  (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 3))) (- (+ (* +nan.0 (* (* (log PI) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log PI) 2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 2))))))))))))))
  (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))
  (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))
12.580 * * [simplify]: iteration 0: 885 enodes
12.892 * * [simplify]: iteration 1: 2001 enodes
13.524 * * [simplify]: iteration complete: 2001 enodes
13.525 * * [simplify]: Extracting #0: cost 602 inf + 0
13.530 * * [simplify]: Extracting #1: cost 1039 inf + 206
13.536 * * [simplify]: Extracting #2: cost 1078 inf + 2352
13.546 * * [simplify]: Extracting #3: cost 1059 inf + 13549
13.563 * * [simplify]: Extracting #4: cost 927 inf + 66681
13.619 * * [simplify]: Extracting #5: cost 483 inf + 322805
13.673 * * [simplify]: Extracting #6: cost 168 inf + 543542
13.731 * * [simplify]: Extracting #7: cost 77 inf + 605261
13.813 * * [simplify]: Extracting #8: cost 52 inf + 624977
13.919 * * [simplify]: Extracting #9: cost 38 inf + 641703
13.995 * * [simplify]: Extracting #10: cost 38 inf + 643767
14.081 * * [simplify]: Extracting #11: cost 46 inf + 644345
14.160 * * [simplify]: Extracting #12: cost 48 inf + 645240
14.238 * * [simplify]: Extracting #13: cost 48 inf + 646538
14.335 * * [simplify]: Extracting #14: cost 43 inf + 651826
14.432 * * [simplify]: Extracting #15: cost 38 inf + 657432
14.515 * * [simplify]: Extracting #16: cost 32 inf + 664785
14.591 * * [simplify]: Extracting #17: cost 33 inf + 668011
14.674 * * [simplify]: Extracting #18: cost 36 inf + 669285
14.759 * * [simplify]: Extracting #19: cost 37 inf + 671145
14.841 * * [simplify]: Extracting #20: cost 35 inf + 673542
14.898 * * [simplify]: Extracting #21: cost 38 inf + 674493
14.994 * * [simplify]: Extracting #22: cost 42 inf + 674493
15.064 * * [simplify]: Extracting #23: cost 47 inf + 675018
15.160 * * [simplify]: Extracting #24: cost 45 inf + 677968
15.238 * * [simplify]: Extracting #25: cost 44 inf + 680333
15.301 * * [simplify]: Extracting #26: cost 48 inf + 680333
15.407 * * [simplify]: Extracting #27: cost 49 inf + 682947
15.481 * * [simplify]: Extracting #28: cost 47 inf + 685563
15.579 * * [simplify]: Extracting #29: cost 50 inf + 686372
15.671 * * [simplify]: Extracting #30: cost 43 inf + 692048
15.779 * * [simplify]: Extracting #31: cost 36 inf + 696935
15.860 * * [simplify]: Extracting #32: cost 33 inf + 700683
15.926 * * [simplify]: Extracting #33: cost 30 inf + 705181
16.020 * * [simplify]: Extracting #34: cost 27 inf + 710439
16.108 * * [simplify]: Extracting #35: cost 23 inf + 718623
16.240 * * [simplify]: Extracting #36: cost 16 inf + 736105
16.387 * * [simplify]: Extracting #37: cost 15 inf + 738631
16.477 * * [simplify]: Extracting #38: cost 13 inf + 744203
16.556 * * [simplify]: Extracting #39: cost 8 inf + 759833
16.652 * * [simplify]: Extracting #40: cost 6 inf + 766405
16.736 * * [simplify]: Extracting #41: cost 4 inf + 773177
16.859 * * [simplify]: Extracting #42: cost 1 inf + 784115
16.993 * * [simplify]: Extracting #43: cost 0 inf + 787801
17.129 * * [simplify]: Extracting #44: cost 0 inf + 787641
17.241 * * [simplify]: Extracting #45: cost 0 inf + 787601
17.407 * [simplify]: Simplified to:
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* n 2))
  (pow (* n 2) (/ k 2))
  (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n 2) (sqrt (- 1/2 (/ k 2))))
  (* n 2)
  (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (* n 2)
  (sqrt (* n 2))
  (pow (* n 2) (/ (- k) 2))
  (sqrt (* n 2))
  (pow (* n 2) (/ (- k) 2))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (exp (pow (* n 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (sqrt PI)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  PI
  (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  PI
  (sqrt PI)
  (pow PI (/ (- k) 2))
  (sqrt PI)
  (pow PI (/ (- k) 2))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  1
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  (* (- 1/2 (/ k 2)) (log PI))
  (exp (pow PI (- 1/2 (/ k 2))))
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  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
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  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (+ (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (+ (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log PI)))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log PI)))
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  (exp (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ k (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
  (* (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))))
  (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))))
  (sqrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (sqrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
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  (/ (sqrt (* n 2)) (/ (cbrt (sqrt k)) (/ (sqrt PI) (cbrt (sqrt k)))))
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  (/ (sqrt (* n 2)) (/ (cbrt (sqrt k)) (/ (sqrt PI) (cbrt (sqrt k)))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))))
  (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (* n 2)) (/ (fabs (cbrt k)) (sqrt PI)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow PI (/ (- k) 2)))
  (/ (sqrt (* n 2)) (/ (fabs (cbrt k)) (sqrt PI)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow PI (/ (- k) 2)))
  (* (/ (sqrt (* n 2)) (fabs (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* n 2)) (/ (fabs (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* n 2)) (fabs (cbrt k)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (* n 2)) (/ (/ (fabs (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt (* n 2)) (/ (fabs (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (* n 2)) (fabs (cbrt k)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow PI (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (fabs (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (sqrt (* n 2)) (/ (sqrt (sqrt k)) (sqrt PI)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))
  (/ (sqrt (* n 2)) (/ (sqrt (sqrt k)) (sqrt PI)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))
  (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))
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  (/ (sqrt (* n 2)) (/ (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (* n 2)) (sqrt (sqrt k)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (* (/ (sqrt (* n 2)) (sqrt 1)) (sqrt PI))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (pow PI (/ (- k) 2))))
  (* (/ (sqrt (* n 2)) (sqrt 1)) (sqrt PI))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (pow PI (/ (- k) 2))))
  (* (/ (sqrt (* n 2)) (sqrt 1)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (sqrt 1)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
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  (/ (sqrt (* n 2)) (/ (/ (sqrt 1) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))))
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  (/ (sqrt (* n 2)) (/ 1 1))
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  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))
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  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (* (/ (sqrt (* n 2)) 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))
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  (sqrt (* n 2))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (* n 2)) (sqrt k))
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  (/ (sqrt (* n 2)) (/ (cbrt (sqrt k)) (/ (sqrt PI) (cbrt (sqrt k)))))
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  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
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  (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))
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  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow PI (/ (- k) 2)))
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  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (* (* (log n) (log n)) (* k k)) (sqrt PI)))) (- (+ (* (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI)) (- (+ (* +nan.0 (* (* (* (log 2) (log 2)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* k k))) (sqrt PI))) (- (+ (* (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI)) (- (+ (* (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (* (log PI) (* k k)))) (sqrt PI)) (- (+ (* (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) k)) (sqrt PI)) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* k k))) (sqrt PI))) (- (+ (* +nan.0 (* (log 2) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* k k)) (sqrt PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (* (log n) (* k k))) (sqrt PI))) (- (+ (* (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* k k))) (sqrt PI)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (* (* (log PI) (log PI)) (* k k)) (sqrt PI)))) (- (+ (* +nan.0 (* (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (* k k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (* k k))) (sqrt PI))) (* +nan.0 (- (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (* k k))) (- (+ (/ (* +nan.0 (* (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k))))) (* (* k k) k))))))))
  (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (/ k (pow PI (- 1/2 (* 1/2 k)))))) (* (- +nan.0) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (/ (* k k) (pow PI (- 1/2 (* 1/2 k))))))))))
  (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (* (* k k) k))) (- (+ (* +nan.0 (* (* (log PI) (* (* k k) k)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (log PI) (log PI)) (* (* (* k k) k) (sqrt (/ 1 PI))))) (- (+ (* (* +nan.0 (sqrt (/ 1 PI))) k) (- (+ (* (* +nan.0 (* (log PI) (* k k))) (sqrt (/ 1 PI))) (* (- +nan.0) (* (sqrt (/ 1 PI)) (* k k)))))))))))))
  (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (/ (* +nan.0 1) (* (pow PI (- 1/2 (* 1/2 k))) k)) (* (- +nan.0) (/ (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (* k k)))))))
  (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (/ (* +nan.0 1) (* (pow PI (- 1/2 (* 1/2 k))) k)) (* (- +nan.0) (/ (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (* k k)))))))
17.519 * * * [progress]: adding candidates to table
20.343 * [progress]: [Phase 3 of 3] Extracting.
20.343 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (/ (sqrt (* (* 2 PI) n)) (pow (* (* 2 PI) n) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>)
20.345 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2 PI) n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) n k)
20.345 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (#<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (/ (sqrt (* (* 2 PI) n)) (pow (* (* 2 PI) n) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>)
20.426 * * * * [regimes]: Trying to branch on (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) from (#<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (/ (sqrt (* (* 2 PI) n)) (pow (* (* 2 PI) n) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>)
20.488 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (/ (sqrt (* (* 2 PI) n)) (pow (* (* 2 PI) n) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>)
20.565 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (/ (/ (sqrt (* (* 2 PI) n)) (pow (* (* 2 PI) n) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>)
20.621 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
20.621 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
20.621 * * [simplify]: iteration 0: 13 enodes
20.623 * * [simplify]: iteration 1: 18 enodes
20.624 * * [simplify]: iteration complete: 18 enodes
20.624 * * [simplify]: Extracting #0: cost 1 inf + 0
20.624 * * [simplify]: Extracting #1: cost 3 inf + 0
20.624 * * [simplify]: Extracting #2: cost 7 inf + 0
20.624 * * [simplify]: Extracting #3: cost 11 inf + 1
20.624 * * [simplify]: Extracting #4: cost 5 inf + 252
20.624 * * [simplify]: Extracting #5: cost 4 inf + 253
20.624 * * [simplify]: Extracting #6: cost 1 inf + 753
20.624 * * [simplify]: Extracting #7: cost 0 inf + 1248
20.625 * [simplify]: Simplified to:
  (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
28.502 * [regime-testing]: Baseline error score: 0.3743177412066188
28.504 * [regime-testing]: Oracle error score: 0.02878444062989038
28.509 * [regime-testing]: End program error score: 0.3743177412066188